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Finding the Fourth Proportional to 13,030.38, 17,963.02 and 8,546.36

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Solution

The fourth proportional to 13,030.38, 17,963.02 and 8,546.36 is: 11,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.38 : 17,963.02 = 8,546.36 : x
  2. Step 2: Convert to fraction form
    13,030.38/17,963.02 = 8,546.36/x
  3. Step 3: Cross multiply
    13,030.38x = 17,963.02 × 8,546.36
  4. Step 4: Simplify right side
    13,030.38x = 153,518,435.61
  5. Step 5: Solve for x
    x = 153,518,435.61/13,030.38
  6. Step 6: Final answer
    x = 11,781.58

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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.