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Finding the Fourth Proportional to 21,406.32, 32,122.84 and 15,403

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Solution

The fourth proportional to 21,406.32, 32,122.84 and 15,403 is: 23,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.32 : 32,122.84 = 15,403 : x
  2. Step 2: Convert to fraction form
    21,406.32/32,122.84 = 15,403/x
  3. Step 3: Cross multiply
    21,406.32x = 32,122.84 × 15,403
  4. Step 4: Simplify right side
    21,406.32x = 494,788,104.52
  5. Step 5: Solve for x
    x = 494,788,104.52/21,406.32
  6. Step 6: Final answer
    x = 23,114.11

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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.