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Finding the Fourth Proportional to 15,665.70, 23,498.55 and 11,000.10

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Solution

The fourth proportional to 15,665.70, 23,498.55 and 11,000.10 is: 16,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.70 : 23,498.55 = 11,000.10 : x
  2. Step 2: Convert to fraction form
    15,665.70/23,498.55 = 11,000.10/x
  3. Step 3: Cross multiply
    15,665.70x = 23,498.55 × 11,000.10
  4. Step 4: Simplify right side
    15,665.70x = 258,486,399.86
  5. Step 5: Solve for x
    x = 258,486,399.86/15,665.70
  6. Step 6: Final answer
    x = 16,500.15

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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.