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Finding the Fourth Proportional to 16,714.30, 23,064.74 and 9,545.06

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Solution

The fourth proportional to 16,714.30, 23,064.74 and 9,545.06 is: 13,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.30 : 23,064.74 = 9,545.06 : x
  2. Step 2: Convert to fraction form
    16,714.30/23,064.74 = 9,545.06/x
  3. Step 3: Cross multiply
    16,714.30x = 23,064.74 × 9,545.06
  4. Step 4: Simplify right side
    16,714.30x = 220,154,327.18
  5. Step 5: Solve for x
    x = 220,154,327.18/16,714.30
  6. Step 6: Final answer
    x = 13,171.62

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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.