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Finding the Fourth Proportional to 15,708.72, 21,656.34 and 12,532.80

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Solution

The fourth proportional to 15,708.72, 21,656.34 and 12,532.80 is: 17,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.72 : 21,656.34 = 12,532.80 : x
  2. Step 2: Convert to fraction form
    15,708.72/21,656.34 = 12,532.80/x
  3. Step 3: Cross multiply
    15,708.72x = 21,656.34 × 12,532.80
  4. Step 4: Simplify right side
    15,708.72x = 271,414,577.95
  5. Step 5: Solve for x
    x = 271,414,577.95/15,708.72
  6. Step 6: Final answer
    x = 17,277.96

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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.