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Finding the Fourth Proportional to 16,210.34, 22,375.85 and 9,498.14

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Solution

The fourth proportional to 16,210.34, 22,375.85 and 9,498.14 is: 13,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.34 : 22,375.85 = 9,498.14 : x
  2. Step 2: Convert to fraction form
    16,210.34/22,375.85 = 9,498.14/x
  3. Step 3: Cross multiply
    16,210.34x = 22,375.85 × 9,498.14
  4. Step 4: Simplify right side
    16,210.34x = 212,528,824.52
  5. Step 5: Solve for x
    x = 212,528,824.52/16,210.34
  6. Step 6: Final answer
    x = 13,110.70

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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.