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Finding the Fourth Proportional to 15,257.70, 22,886.38 and 4,164.16

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Solution

The fourth proportional to 15,257.70, 22,886.38 and 4,164.16 is: 6,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.70 : 22,886.38 = 4,164.16 : x
  2. Step 2: Convert to fraction form
    15,257.70/22,886.38 = 4,164.16/x
  3. Step 3: Cross multiply
    15,257.70x = 22,886.38 × 4,164.16
  4. Step 4: Simplify right side
    15,257.70x = 95,302,548.14
  5. Step 5: Solve for x
    x = 95,302,548.14/15,257.70
  6. Step 6: Final answer
    x = 6,246.19

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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.