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Finding the Fourth Proportional to 16,070.78, 22,179.88 and 9,697.70

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Solution

The fourth proportional to 16,070.78, 22,179.88 and 9,697.70 is: 13,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.78 : 22,179.88 = 9,697.70 : x
  2. Step 2: Convert to fraction form
    16,070.78/22,179.88 = 9,697.70/x
  3. Step 3: Cross multiply
    16,070.78x = 22,179.88 × 9,697.70
  4. Step 4: Simplify right side
    16,070.78x = 215,093,822.28
  5. Step 5: Solve for x
    x = 215,093,822.28/16,070.78
  6. Step 6: Final answer
    x = 13,384.16

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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.