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Finding the Fourth Proportional to 13,175.64, 19,753.14 and 6,598.52

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Solution

The fourth proportional to 13,175.64, 19,753.14 and 6,598.52 is: 9,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.64 : 19,753.14 = 6,598.52 : x
  2. Step 2: Convert to fraction form
    13,175.64/19,753.14 = 6,598.52/x
  3. Step 3: Cross multiply
    13,175.64x = 19,753.14 × 6,598.52
  4. Step 4: Simplify right side
    13,175.64x = 130,341,489.35
  5. Step 5: Solve for x
    x = 130,341,489.35/13,175.64
  6. Step 6: Final answer
    x = 9,892.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.