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Finding the Fourth Proportional to 16,655.82, 22,985.01 and 9,102.30

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Solution

The fourth proportional to 16,655.82, 22,985.01 and 9,102.30 is: 12,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.82 : 22,985.01 = 9,102.30 : x
  2. Step 2: Convert to fraction form
    16,655.82/22,985.01 = 9,102.30/x
  3. Step 3: Cross multiply
    16,655.82x = 22,985.01 × 9,102.30
  4. Step 4: Simplify right side
    16,655.82x = 209,216,456.52
  5. Step 5: Solve for x
    x = 209,216,456.52/16,655.82
  6. Step 6: Final answer
    x = 12,561.16

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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.