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Finding the Fourth Proportional to 13,007.38, 17,957.91 and 8,538.95

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Solution

The fourth proportional to 13,007.38, 17,957.91 and 8,538.95 is: 11,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.38 : 17,957.91 = 8,538.95 : x
  2. Step 2: Convert to fraction form
    13,007.38/17,957.91 = 8,538.95/x
  3. Step 3: Cross multiply
    13,007.38x = 17,957.91 × 8,538.95
  4. Step 4: Simplify right side
    13,007.38x = 153,341,637.83
  5. Step 5: Solve for x
    x = 153,341,637.83/13,007.38
  6. Step 6: Final answer
    x = 11,788.82

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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.