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Finding the Fourth Proportional to 24,407.94, 36,570.11 and 13,322.41

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Solution

The fourth proportional to 24,407.94, 36,570.11 and 13,322.41 is: 19,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.94 : 36,570.11 = 13,322.41 : x
  2. Step 2: Convert to fraction form
    24,407.94/36,570.11 = 13,322.41/x
  3. Step 3: Cross multiply
    24,407.94x = 36,570.11 × 13,322.41
  4. Step 4: Simplify right side
    24,407.94x = 487,201,999.17
  5. Step 5: Solve for x
    x = 487,201,999.17/24,407.94
  6. Step 6: Final answer
    x = 19,960.80

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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.