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Finding the Fourth Proportional to 15,565.97, 23,357.16 and 6,807.04

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Solution

The fourth proportional to 15,565.97, 23,357.16 and 6,807.04 is: 10,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.97 : 23,357.16 = 6,807.04 : x
  2. Step 2: Convert to fraction form
    15,565.97/23,357.16 = 6,807.04/x
  3. Step 3: Cross multiply
    15,565.97x = 23,357.16 × 6,807.04
  4. Step 4: Simplify right side
    15,565.97x = 158,993,064.01
  5. Step 5: Solve for x
    x = 158,993,064.01/15,565.97
  6. Step 6: Final answer
    x = 10,214.14

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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.