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Finding the Fourth Proportional to 15,423.65, 23,116.87 and 7,092.25

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Solution

The fourth proportional to 15,423.65, 23,116.87 and 7,092.25 is: 10,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423.65 : 23,116.87 = 7,092.25 : x
  2. Step 2: Convert to fraction form
    15,423.65/23,116.87 = 7,092.25/x
  3. Step 3: Cross multiply
    15,423.65x = 23,116.87 × 7,092.25
  4. Step 4: Simplify right side
    15,423.65x = 163,950,621.26
  5. Step 5: Solve for x
    x = 163,950,621.26/15,423.65
  6. Step 6: Final answer
    x = 10,629.82

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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.