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Finding the Fourth Proportional to 12,751.74, 19,114.42 and 9,233.02

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Solution

The fourth proportional to 12,751.74, 19,114.42 and 9,233.02 is: 13,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.74 : 19,114.42 = 9,233.02 : x
  2. Step 2: Convert to fraction form
    12,751.74/19,114.42 = 9,233.02/x
  3. Step 3: Cross multiply
    12,751.74x = 19,114.42 × 9,233.02
  4. Step 4: Simplify right side
    12,751.74x = 176,483,726.58
  5. Step 5: Solve for x
    x = 176,483,726.58/12,751.74
  6. Step 6: Final answer
    x = 13,839.98

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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.