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Finding the Fourth Proportional to 25,649.14, 38,472.99 and 13,985.14

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Solution

The fourth proportional to 25,649.14, 38,472.99 and 13,985.14 is: 20,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.14 : 38,472.99 = 13,985.14 : x
  2. Step 2: Convert to fraction form
    25,649.14/38,472.99 = 13,985.14/x
  3. Step 3: Cross multiply
    25,649.14x = 38,472.99 × 13,985.14
  4. Step 4: Simplify right side
    25,649.14x = 538,050,151.37
  5. Step 5: Solve for x
    x = 538,050,151.37/25,649.14
  6. Step 6: Final answer
    x = 20,977.32

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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.