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Finding the Fourth Proportional to 19,129.50, 26,398.72 and 10,746

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Solution

The fourth proportional to 19,129.50, 26,398.72 and 10,746 is: 14,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,129.50 : 26,398.72 = 10,746 : x
  2. Step 2: Convert to fraction form
    19,129.50/26,398.72 = 10,746/x
  3. Step 3: Cross multiply
    19,129.50x = 26,398.72 × 10,746
  4. Step 4: Simplify right side
    19,129.50x = 283,680,645.12
  5. Step 5: Solve for x
    x = 283,680,645.12/19,129.50
  6. Step 6: Final answer
    x = 14,829.49

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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.