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Finding the Fourth Proportional to 16,200.66, 22,357.17 and 9,031.17

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Solution

The fourth proportional to 16,200.66, 22,357.17 and 9,031.17 is: 12,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.66 : 22,357.17 = 9,031.17 : x
  2. Step 2: Convert to fraction form
    16,200.66/22,357.17 = 9,031.17/x
  3. Step 3: Cross multiply
    16,200.66x = 22,357.17 × 9,031.17
  4. Step 4: Simplify right side
    16,200.66x = 201,911,402.99
  5. Step 5: Solve for x
    x = 201,911,402.99/16,200.66
  6. Step 6: Final answer
    x = 12,463.16

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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.