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Finding the Fourth Proportional to 19,517.76, 29,246.40 and 9,117.36

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Solution

The fourth proportional to 19,517.76, 29,246.40 and 9,117.36 is: 13,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.76 : 29,246.40 = 9,117.36 : x
  2. Step 2: Convert to fraction form
    19,517.76/29,246.40 = 9,117.36/x
  3. Step 3: Cross multiply
    19,517.76x = 29,246.40 × 9,117.36
  4. Step 4: Simplify right side
    19,517.76x = 266,649,957.50
  5. Step 5: Solve for x
    x = 266,649,957.50/19,517.76
  6. Step 6: Final answer
    x = 13,661.91

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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.