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Finding the Fourth Proportional to 21,710.57, 32,560.88 and 10,460.16

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Solution

The fourth proportional to 21,710.57, 32,560.88 and 10,460.16 is: 15,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.57 : 32,560.88 = 10,460.16 : x
  2. Step 2: Convert to fraction form
    21,710.57/32,560.88 = 10,460.16/x
  3. Step 3: Cross multiply
    21,710.57x = 32,560.88 × 10,460.16
  4. Step 4: Simplify right side
    21,710.57x = 340,591,962.24
  5. Step 5: Solve for x
    x = 340,591,962.24/21,710.57
  6. Step 6: Final answer
    x = 15,687.84

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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.