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Finding the Fourth Proportional to 15,733.64, 23,545.02 and 12,006.20

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Solution

The fourth proportional to 15,733.64, 23,545.02 and 12,006.20 is: 17,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.64 : 23,545.02 = 12,006.20 : x
  2. Step 2: Convert to fraction form
    15,733.64/23,545.02 = 12,006.20/x
  3. Step 3: Cross multiply
    15,733.64x = 23,545.02 × 12,006.20
  4. Step 4: Simplify right side
    15,733.64x = 282,686,219.12
  5. Step 5: Solve for x
    x = 282,686,219.12/15,733.64
  6. Step 6: Final answer
    x = 17,966.99

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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.