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Finding the Fourth Proportional to 15,374.62, 23,064.35 and 5,382.16

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Solution

The fourth proportional to 15,374.62, 23,064.35 and 5,382.16 is: 8,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,374.62 : 23,064.35 = 5,382.16 : x
  2. Step 2: Convert to fraction form
    15,374.62/23,064.35 = 5,382.16/x
  3. Step 3: Cross multiply
    15,374.62x = 23,064.35 × 5,382.16
  4. Step 4: Simplify right side
    15,374.62x = 124,136,022.00
  5. Step 5: Solve for x
    x = 124,136,022.00/15,374.62
  6. Step 6: Final answer
    x = 8,074.09

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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.