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Finding the Fourth Proportional to 25,646.70, 38,400.54 and 13,308.78

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Solution

The fourth proportional to 25,646.70, 38,400.54 and 13,308.78 is: 19,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.70 : 38,400.54 = 13,308.78 : x
  2. Step 2: Convert to fraction form
    25,646.70/38,400.54 = 13,308.78/x
  3. Step 3: Cross multiply
    25,646.70x = 38,400.54 × 13,308.78
  4. Step 4: Simplify right side
    25,646.70x = 511,064,338.74
  5. Step 5: Solve for x
    x = 511,064,338.74/25,646.70
  6. Step 6: Final answer
    x = 19,927.10

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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.