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Finding the Fourth Proportional to 14,496.61, 21,753.14 and 6,175.76

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Solution

The fourth proportional to 14,496.61, 21,753.14 and 6,175.76 is: 9,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.61 : 21,753.14 = 6,175.76 : x
  2. Step 2: Convert to fraction form
    14,496.61/21,753.14 = 6,175.76/x
  3. Step 3: Cross multiply
    14,496.61x = 21,753.14 × 6,175.76
  4. Step 4: Simplify right side
    14,496.61x = 134,342,063.12
  5. Step 5: Solve for x
    x = 134,342,063.12/14,496.61
  6. Step 6: Final answer
    x = 9,267.14

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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.