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Finding the Fourth Proportional to 15,752.49, 23,643.36 and 7,966.77

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Solution

The fourth proportional to 15,752.49, 23,643.36 and 7,966.77 is: 11,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.49 : 23,643.36 = 7,966.77 : x
  2. Step 2: Convert to fraction form
    15,752.49/23,643.36 = 7,966.77/x
  3. Step 3: Cross multiply
    15,752.49x = 23,643.36 × 7,966.77
  4. Step 4: Simplify right side
    15,752.49x = 188,361,211.15
  5. Step 5: Solve for x
    x = 188,361,211.15/15,752.49
  6. Step 6: Final answer
    x = 11,957.55

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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.