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Finding the Fourth Proportional to 15,782.46, 21,778.71 and 8,709

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Solution

The fourth proportional to 15,782.46, 21,778.71 and 8,709 is: 12,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.46 : 21,778.71 = 8,709 : x
  2. Step 2: Convert to fraction form
    15,782.46/21,778.71 = 8,709/x
  3. Step 3: Cross multiply
    15,782.46x = 21,778.71 × 8,709
  4. Step 4: Simplify right side
    15,782.46x = 189,670,785.39
  5. Step 5: Solve for x
    x = 189,670,785.39/15,782.46
  6. Step 6: Final answer
    x = 12,017.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.