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Finding the Fourth Proportional to 15,963.84, 23,937.26 and 6,097.46

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Solution

The fourth proportional to 15,963.84, 23,937.26 and 6,097.46 is: 9,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963.84 : 23,937.26 = 6,097.46 : x
  2. Step 2: Convert to fraction form
    15,963.84/23,937.26 = 6,097.46/x
  3. Step 3: Cross multiply
    15,963.84x = 23,937.26 × 6,097.46
  4. Step 4: Simplify right side
    15,963.84x = 145,956,335.19
  5. Step 5: Solve for x
    x = 145,956,335.19/15,963.84
  6. Step 6: Final answer
    x = 9,142.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.