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Finding the Fourth Proportional to 21,710.28, 32,565.44 and 10,017.12

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Solution

The fourth proportional to 21,710.28, 32,565.44 and 10,017.12 is: 15,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.28 : 32,565.44 = 10,017.12 : x
  2. Step 2: Convert to fraction form
    21,710.28/32,565.44 = 10,017.12/x
  3. Step 3: Cross multiply
    21,710.28x = 32,565.44 × 10,017.12
  4. Step 4: Simplify right side
    21,710.28x = 326,211,920.33
  5. Step 5: Solve for x
    x = 326,211,920.33/21,710.28
  6. Step 6: Final answer
    x = 15,025.69

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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.