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Finding the Fourth Proportional to 21,862.47, 32,749 and 10,734.29

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Solution

The fourth proportional to 21,862.47, 32,749 and 10,734.29 is: 16,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.47 : 32,749 = 10,734.29 : x
  2. Step 2: Convert to fraction form
    21,862.47/32,749 = 10,734.29/x
  3. Step 3: Cross multiply
    21,862.47x = 32,749 × 10,734.29
  4. Step 4: Simplify right side
    21,862.47x = 351,537,263.21
  5. Step 5: Solve for x
    x = 351,537,263.21/21,862.47
  6. Step 6: Final answer
    x = 16,079.49

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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.