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Finding the Fourth Proportional to 23,129.52, 31,916.34 and 13,058.52

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Solution

The fourth proportional to 23,129.52, 31,916.34 and 13,058.52 is: 18,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.52 : 31,916.34 = 13,058.52 : x
  2. Step 2: Convert to fraction form
    23,129.52/31,916.34 = 13,058.52/x
  3. Step 3: Cross multiply
    23,129.52x = 31,916.34 × 13,058.52
  4. Step 4: Simplify right side
    23,129.52x = 416,780,164.22
  5. Step 5: Solve for x
    x = 416,780,164.22/23,129.52
  6. Step 6: Final answer
    x = 18,019.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.