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Finding the Fourth Proportional to 15,870.77, 23,816.91 and 6,512.48

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Solution

The fourth proportional to 15,870.77, 23,816.91 and 6,512.48 is: 9,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.77 : 23,816.91 = 6,512.48 : x
  2. Step 2: Convert to fraction form
    15,870.77/23,816.91 = 6,512.48/x
  3. Step 3: Cross multiply
    15,870.77x = 23,816.91 × 6,512.48
  4. Step 4: Simplify right side
    15,870.77x = 155,107,150.04
  5. Step 5: Solve for x
    x = 155,107,150.04/15,870.77
  6. Step 6: Final answer
    x = 9,773.13

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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.