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Finding the Fourth Proportional to 15,291.30, 22,948.02 and 5,430.66

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Solution

The fourth proportional to 15,291.30, 22,948.02 and 5,430.66 is: 8,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,291.30 : 22,948.02 = 5,430.66 : x
  2. Step 2: Convert to fraction form
    15,291.30/22,948.02 = 5,430.66/x
  3. Step 3: Cross multiply
    15,291.30x = 22,948.02 × 5,430.66
  4. Step 4: Simplify right side
    15,291.30x = 124,622,894.29
  5. Step 5: Solve for x
    x = 124,622,894.29/15,291.30
  6. Step 6: Final answer
    x = 8,149.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.