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Finding the Fourth Proportional to 12,702.16, 17,529.60 and 7,666.30

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Solution

The fourth proportional to 12,702.16, 17,529.60 and 7,666.30 is: 10,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.16 : 17,529.60 = 7,666.30 : x
  2. Step 2: Convert to fraction form
    12,702.16/17,529.60 = 7,666.30/x
  3. Step 3: Cross multiply
    12,702.16x = 17,529.60 × 7,666.30
  4. Step 4: Simplify right side
    12,702.16x = 134,387,172.48
  5. Step 5: Solve for x
    x = 134,387,172.48/12,702.16
  6. Step 6: Final answer
    x = 10,579.87

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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.