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Finding the Fourth Proportional to 15,613.84, 23,429.92 and 5,759.98

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Solution

The fourth proportional to 15,613.84, 23,429.92 and 5,759.98 is: 8,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.84 : 23,429.92 = 5,759.98 : x
  2. Step 2: Convert to fraction form
    15,613.84/23,429.92 = 5,759.98/x
  3. Step 3: Cross multiply
    15,613.84x = 23,429.92 × 5,759.98
  4. Step 4: Simplify right side
    15,613.84x = 134,955,870.60
  5. Step 5: Solve for x
    x = 134,955,870.60/15,613.84
  6. Step 6: Final answer
    x = 8,643.35

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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.