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Finding the Fourth Proportional to 21,405.32, 32,121.34 and 15,402

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Solution

The fourth proportional to 21,405.32, 32,121.34 and 15,402 is: 23,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.32 : 32,121.34 = 15,402 : x
  2. Step 2: Convert to fraction form
    21,405.32/32,121.34 = 15,402/x
  3. Step 3: Cross multiply
    21,405.32x = 32,121.34 × 15,402
  4. Step 4: Simplify right side
    21,405.32x = 494,732,840.18
  5. Step 5: Solve for x
    x = 494,732,840.18/21,405.32
  6. Step 6: Final answer
    x = 23,112.62

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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.