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Finding the Fourth Proportional to 15,899.34, 23,852.61 and 8,499.90

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Solution

The fourth proportional to 15,899.34, 23,852.61 and 8,499.90 is: 12,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.34 : 23,852.61 = 8,499.90 : x
  2. Step 2: Convert to fraction form
    15,899.34/23,852.61 = 8,499.90/x
  3. Step 3: Cross multiply
    15,899.34x = 23,852.61 × 8,499.90
  4. Step 4: Simplify right side
    15,899.34x = 202,744,799.74
  5. Step 5: Solve for x
    x = 202,744,799.74/15,899.34
  6. Step 6: Final answer
    x = 12,751.77

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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.