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Finding the Fourth Proportional to 21,697.12, 32,564.40 and 10,612

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Solution

The fourth proportional to 21,697.12, 32,564.40 and 10,612 is: 15,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.12 : 32,564.40 = 10,612 : x
  2. Step 2: Convert to fraction form
    21,697.12/32,564.40 = 10,612/x
  3. Step 3: Cross multiply
    21,697.12x = 32,564.40 × 10,612
  4. Step 4: Simplify right side
    21,697.12x = 345,573,412.80
  5. Step 5: Solve for x
    x = 345,573,412.80/21,697.12
  6. Step 6: Final answer
    x = 15,927.16

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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.