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Finding the Fourth Proportional to 15,478.61, 23,186.91 and 7,147.34

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Solution

The fourth proportional to 15,478.61, 23,186.91 and 7,147.34 is: 10,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.61 : 23,186.91 = 7,147.34 : x
  2. Step 2: Convert to fraction form
    15,478.61/23,186.91 = 7,147.34/x
  3. Step 3: Cross multiply
    15,478.61x = 23,186.91 × 7,147.34
  4. Step 4: Simplify right side
    15,478.61x = 165,724,729.32
  5. Step 5: Solve for x
    x = 165,724,729.32/15,478.61
  6. Step 6: Final answer
    x = 10,706.69

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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.