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Finding the Fourth Proportional to 15,854.62, 23,765.70 and 10,319.08

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Solution

The fourth proportional to 15,854.62, 23,765.70 and 10,319.08 is: 15,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.62 : 23,765.70 = 10,319.08 : x
  2. Step 2: Convert to fraction form
    15,854.62/23,765.70 = 10,319.08/x
  3. Step 3: Cross multiply
    15,854.62x = 23,765.70 × 10,319.08
  4. Step 4: Simplify right side
    15,854.62x = 245,240,159.56
  5. Step 5: Solve for x
    x = 245,240,159.56/15,854.62
  6. Step 6: Final answer
    x = 15,468.06

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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.