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Finding the Fourth Proportional to 16,842.15, 23,242.10 and 9,772.65

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Solution

The fourth proportional to 16,842.15, 23,242.10 and 9,772.65 is: 13,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.15 : 23,242.10 = 9,772.65 : x
  2. Step 2: Convert to fraction form
    16,842.15/23,242.10 = 9,772.65/x
  3. Step 3: Cross multiply
    16,842.15x = 23,242.10 × 9,772.65
  4. Step 4: Simplify right side
    16,842.15x = 227,136,859.70
  5. Step 5: Solve for x
    x = 227,136,859.70/16,842.15
  6. Step 6: Final answer
    x = 13,486.22

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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.