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Finding the Fourth Proportional to 10,228.84, 15,323.50 and 8,565.64

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Solution

The fourth proportional to 10,228.84, 15,323.50 and 8,565.64 is: 12,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.84 : 15,323.50 = 8,565.64 : x
  2. Step 2: Convert to fraction form
    10,228.84/15,323.50 = 8,565.64/x
  3. Step 3: Cross multiply
    10,228.84x = 15,323.50 × 8,565.64
  4. Step 4: Simplify right side
    10,228.84x = 131,255,584.54
  5. Step 5: Solve for x
    x = 131,255,584.54/10,228.84
  6. Step 6: Final answer
    x = 12,831.91

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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.