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Finding the Fourth Proportional to 21,825.77, 32,737.98 and 6,031.74

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Solution

The fourth proportional to 21,825.77, 32,737.98 and 6,031.74 is: 9,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.77 : 32,737.98 = 6,031.74 : x
  2. Step 2: Convert to fraction form
    21,825.77/32,737.98 = 6,031.74/x
  3. Step 3: Cross multiply
    21,825.77x = 32,737.98 × 6,031.74
  4. Step 4: Simplify right side
    21,825.77x = 197,466,983.49
  5. Step 5: Solve for x
    x = 197,466,983.49/21,825.77
  6. Step 6: Final answer
    x = 9,047.43

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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.