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Finding the Fourth Proportional to 15,386.50, 23,069.88 and 6,499.42

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Solution

The fourth proportional to 15,386.50, 23,069.88 and 6,499.42 is: 9,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386.50 : 23,069.88 = 6,499.42 : x
  2. Step 2: Convert to fraction form
    15,386.50/23,069.88 = 6,499.42/x
  3. Step 3: Cross multiply
    15,386.50x = 23,069.88 × 6,499.42
  4. Step 4: Simplify right side
    15,386.50x = 149,940,724.12
  5. Step 5: Solve for x
    x = 149,940,724.12/15,386.50
  6. Step 6: Final answer
    x = 9,744.96

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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.