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Finding the Fourth Proportional to 22,058.10, 30,432.18 and 14,104.71

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Solution

The fourth proportional to 22,058.10, 30,432.18 and 14,104.71 is: 19,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,058.10 : 30,432.18 = 14,104.71 : x
  2. Step 2: Convert to fraction form
    22,058.10/30,432.18 = 14,104.71/x
  3. Step 3: Cross multiply
    22,058.10x = 30,432.18 × 14,104.71
  4. Step 4: Simplify right side
    22,058.10x = 429,237,073.57
  5. Step 5: Solve for x
    x = 429,237,073.57/22,058.10
  6. Step 6: Final answer
    x = 19,459.39

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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.