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Finding the Fourth Proportional to 15,732.98, 23,595.78 and 6,963.08

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Solution

The fourth proportional to 15,732.98, 23,595.78 and 6,963.08 is: 10,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.98 : 23,595.78 = 6,963.08 : x
  2. Step 2: Convert to fraction form
    15,732.98/23,595.78 = 6,963.08/x
  3. Step 3: Cross multiply
    15,732.98x = 23,595.78 × 6,963.08
  4. Step 4: Simplify right side
    15,732.98x = 164,299,303.80
  5. Step 5: Solve for x
    x = 164,299,303.80/15,732.98
  6. Step 6: Final answer
    x = 10,442.99

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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.