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Finding the Fourth Proportional to 15,498, 23,285.52 and 9,954

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Solution

The fourth proportional to 15,498, 23,285.52 and 9,954 is: 14,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498 : 23,285.52 = 9,954 : x
  2. Step 2: Convert to fraction form
    15,498/23,285.52 = 9,954/x
  3. Step 3: Cross multiply
    15,498x = 23,285.52 × 9,954
  4. Step 4: Simplify right side
    15,498x = 231,784,066.08
  5. Step 5: Solve for x
    x = 231,784,066.08/15,498
  6. Step 6: Final answer
    x = 14,955.74

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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.