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Finding the Fourth Proportional to 22,018.49, 32,985.24 and 13,140.92

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Solution

The fourth proportional to 22,018.49, 32,985.24 and 13,140.92 is: 19,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,018.49 : 32,985.24 = 13,140.92 : x
  2. Step 2: Convert to fraction form
    22,018.49/32,985.24 = 13,140.92/x
  3. Step 3: Cross multiply
    22,018.49x = 32,985.24 × 13,140.92
  4. Step 4: Simplify right side
    22,018.49x = 433,456,400.02
  5. Step 5: Solve for x
    x = 433,456,400.02/22,018.49
  6. Step 6: Final answer
    x = 19,686.02

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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.