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Finding the Fourth Proportional to 24,978.75, 34,472.22 and 14,368.14

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Solution

The fourth proportional to 24,978.75, 34,472.22 and 14,368.14 is: 19,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.75 : 34,472.22 = 14,368.14 : x
  2. Step 2: Convert to fraction form
    24,978.75/34,472.22 = 14,368.14/x
  3. Step 3: Cross multiply
    24,978.75x = 34,472.22 × 14,368.14
  4. Step 4: Simplify right side
    24,978.75x = 495,301,683.07
  5. Step 5: Solve for x
    x = 495,301,683.07/24,978.75
  6. Step 6: Final answer
    x = 19,828.92

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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.