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Finding the Fourth Proportional to 24,407.69, 36,569.74 and 13,322.16

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Solution

The fourth proportional to 24,407.69, 36,569.74 and 13,322.16 is: 19,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.69 : 36,569.74 = 13,322.16 : x
  2. Step 2: Convert to fraction form
    24,407.69/36,569.74 = 13,322.16/x
  3. Step 3: Cross multiply
    24,407.69x = 36,569.74 × 13,322.16
  4. Step 4: Simplify right side
    24,407.69x = 487,187,927.44
  5. Step 5: Solve for x
    x = 487,187,927.44/24,407.69
  6. Step 6: Final answer
    x = 19,960.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.