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Finding the Fourth Proportional to 24,115.16, 36,169.50 and 6,584.06

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Solution

The fourth proportional to 24,115.16, 36,169.50 and 6,584.06 is: 9,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.16 : 36,169.50 = 6,584.06 : x
  2. Step 2: Convert to fraction form
    24,115.16/36,169.50 = 6,584.06/x
  3. Step 3: Cross multiply
    24,115.16x = 36,169.50 × 6,584.06
  4. Step 4: Simplify right side
    24,115.16x = 238,142,158.17
  5. Step 5: Solve for x
    x = 238,142,158.17/24,115.16
  6. Step 6: Final answer
    x = 9,875.21

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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.