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Finding the Fourth Proportional to 15,323.53, 22,963.92 and 8,288.41

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Solution

The fourth proportional to 15,323.53, 22,963.92 and 8,288.41 is: 12,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.53 : 22,963.92 = 8,288.41 : x
  2. Step 2: Convert to fraction form
    15,323.53/22,963.92 = 8,288.41/x
  3. Step 3: Cross multiply
    15,323.53x = 22,963.92 × 8,288.41
  4. Step 4: Simplify right side
    15,323.53x = 190,334,384.17
  5. Step 5: Solve for x
    x = 190,334,384.17/15,323.53
  6. Step 6: Final answer
    x = 12,421.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.