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Finding the Fourth Proportional to 12,172.42, 16,798.16 and 7,140.27

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Solution

The fourth proportional to 12,172.42, 16,798.16 and 7,140.27 is: 9,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.42 : 16,798.16 = 7,140.27 : x
  2. Step 2: Convert to fraction form
    12,172.42/16,798.16 = 7,140.27/x
  3. Step 3: Cross multiply
    12,172.42x = 16,798.16 × 7,140.27
  4. Step 4: Simplify right side
    12,172.42x = 119,943,397.90
  5. Step 5: Solve for x
    x = 119,943,397.90/12,172.42
  6. Step 6: Final answer
    x = 9,853.70

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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.