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Finding the Fourth Proportional to 15,058.71, 22,587.46 and 7,165.06

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Solution

The fourth proportional to 15,058.71, 22,587.46 and 7,165.06 is: 10,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,058.71 : 22,587.46 = 7,165.06 : x
  2. Step 2: Convert to fraction form
    15,058.71/22,587.46 = 7,165.06/x
  3. Step 3: Cross multiply
    15,058.71x = 22,587.46 × 7,165.06
  4. Step 4: Simplify right side
    15,058.71x = 161,840,431.77
  5. Step 5: Solve for x
    x = 161,840,431.77/15,058.71
  6. Step 6: Final answer
    x = 10,747.30

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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.