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Finding the Fourth Proportional to 15,356.34, 23,062.23 and 7,965.90

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Solution

The fourth proportional to 15,356.34, 23,062.23 and 7,965.90 is: 11,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,356.34 : 23,062.23 = 7,965.90 : x
  2. Step 2: Convert to fraction form
    15,356.34/23,062.23 = 7,965.90/x
  3. Step 3: Cross multiply
    15,356.34x = 23,062.23 × 7,965.90
  4. Step 4: Simplify right side
    15,356.34x = 183,711,417.96
  5. Step 5: Solve for x
    x = 183,711,417.96/15,356.34
  6. Step 6: Final answer
    x = 11,963.23

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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.