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Finding the Fourth Proportional to 24,585.42, 33,927.84 and 13,407.42

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Solution

The fourth proportional to 24,585.42, 33,927.84 and 13,407.42 is: 18,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585.42 : 33,927.84 = 13,407.42 : x
  2. Step 2: Convert to fraction form
    24,585.42/33,927.84 = 13,407.42/x
  3. Step 3: Cross multiply
    24,585.42x = 33,927.84 × 13,407.42
  4. Step 4: Simplify right side
    24,585.42x = 454,884,800.57
  5. Step 5: Solve for x
    x = 454,884,800.57/24,585.42
  6. Step 6: Final answer
    x = 18,502.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.