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Finding the Fourth Proportional to 15,983.10, 22,050 and 9,521.46

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Solution

The fourth proportional to 15,983.10, 22,050 and 9,521.46 is: 13,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.10 : 22,050 = 9,521.46 : x
  2. Step 2: Convert to fraction form
    15,983.10/22,050 = 9,521.46/x
  3. Step 3: Cross multiply
    15,983.10x = 22,050 × 9,521.46
  4. Step 4: Simplify right side
    15,983.10x = 209,948,193.00
  5. Step 5: Solve for x
    x = 209,948,193.00/15,983.10
  6. Step 6: Final answer
    x = 13,135.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.