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Finding the Fourth Proportional to 15,805.40, 23,711.34 and 5,417.96

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Solution

The fourth proportional to 15,805.40, 23,711.34 and 5,417.96 is: 8,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.40 : 23,711.34 = 5,417.96 : x
  2. Step 2: Convert to fraction form
    15,805.40/23,711.34 = 5,417.96/x
  3. Step 3: Cross multiply
    15,805.40x = 23,711.34 × 5,417.96
  4. Step 4: Simplify right side
    15,805.40x = 128,467,091.67
  5. Step 5: Solve for x
    x = 128,467,091.67/15,805.40
  6. Step 6: Final answer
    x = 8,128.05

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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.