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Finding the Fourth Proportional to 16,072.57, 22,176.57 and 9,700.20

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Solution

The fourth proportional to 16,072.57, 22,176.57 and 9,700.20 is: 13,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.57 : 22,176.57 = 9,700.20 : x
  2. Step 2: Convert to fraction form
    16,072.57/22,176.57 = 9,700.20/x
  3. Step 3: Cross multiply
    16,072.57x = 22,176.57 × 9,700.20
  4. Step 4: Simplify right side
    16,072.57x = 215,117,115.81
  5. Step 5: Solve for x
    x = 215,117,115.81/16,072.57
  6. Step 6: Final answer
    x = 13,384.11

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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.