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Finding the Fourth Proportional to 15,497.57, 21,383.10 and 8,781.65

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Solution

The fourth proportional to 15,497.57, 21,383.10 and 8,781.65 is: 12,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.57 : 21,383.10 = 8,781.65 : x
  2. Step 2: Convert to fraction form
    15,497.57/21,383.10 = 8,781.65/x
  3. Step 3: Cross multiply
    15,497.57x = 21,383.10 × 8,781.65
  4. Step 4: Simplify right side
    15,497.57x = 187,778,900.12
  5. Step 5: Solve for x
    x = 187,778,900.12/15,497.57
  6. Step 6: Final answer
    x = 12,116.67

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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.