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Finding the Fourth Proportional to 25,564.36, 38,351.38 and 9,981

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Solution

The fourth proportional to 25,564.36, 38,351.38 and 9,981 is: 14,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.36 : 38,351.38 = 9,981 : x
  2. Step 2: Convert to fraction form
    25,564.36/38,351.38 = 9,981/x
  3. Step 3: Cross multiply
    25,564.36x = 38,351.38 × 9,981
  4. Step 4: Simplify right side
    25,564.36x = 382,785,123.78
  5. Step 5: Solve for x
    x = 382,785,123.78/25,564.36
  6. Step 6: Final answer
    x = 14,973.39

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