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Finding the Fourth Proportional to 15,710.15, 23,565.17 and 6,824.32

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Solution

The fourth proportional to 15,710.15, 23,565.17 and 6,824.32 is: 10,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.15 : 23,565.17 = 6,824.32 : x
  2. Step 2: Convert to fraction form
    15,710.15/23,565.17 = 6,824.32/x
  3. Step 3: Cross multiply
    15,710.15x = 23,565.17 × 6,824.32
  4. Step 4: Simplify right side
    15,710.15x = 160,816,219.08
  5. Step 5: Solve for x
    x = 160,816,219.08/15,710.15
  6. Step 6: Final answer
    x = 10,236.45

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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.