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Finding the Fourth Proportional to 22,720.95, 31,354.50 and 12,649.14

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Solution

The fourth proportional to 22,720.95, 31,354.50 and 12,649.14 is: 17,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.95 : 31,354.50 = 12,649.14 : x
  2. Step 2: Convert to fraction form
    22,720.95/31,354.50 = 12,649.14/x
  3. Step 3: Cross multiply
    22,720.95x = 31,354.50 × 12,649.14
  4. Step 4: Simplify right side
    22,720.95x = 396,607,460.13
  5. Step 5: Solve for x
    x = 396,607,460.13/22,720.95
  6. Step 6: Final answer
    x = 17,455.58

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