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Finding the Fourth Proportional to 15,706.40, 23,539.80 and 8,314.16

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Solution

The fourth proportional to 15,706.40, 23,539.80 and 8,314.16 is: 12,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.40 : 23,539.80 = 8,314.16 : x
  2. Step 2: Convert to fraction form
    15,706.40/23,539.80 = 8,314.16/x
  3. Step 3: Cross multiply
    15,706.40x = 23,539.80 × 8,314.16
  4. Step 4: Simplify right side
    15,706.40x = 195,713,663.57
  5. Step 5: Solve for x
    x = 195,713,663.57/15,706.40
  6. Step 6: Final answer
    x = 12,460.76

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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.