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Finding the Fourth Proportional to 23,574.71, 32,532.20 and 12,963.71

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Solution

The fourth proportional to 23,574.71, 32,532.20 and 12,963.71 is: 17,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.71 : 32,532.20 = 12,963.71 : x
  2. Step 2: Convert to fraction form
    23,574.71/32,532.20 = 12,963.71/x
  3. Step 3: Cross multiply
    23,574.71x = 32,532.20 × 12,963.71
  4. Step 4: Simplify right side
    23,574.71x = 421,737,941.64
  5. Step 5: Solve for x
    x = 421,737,941.64/23,574.71
  6. Step 6: Final answer
    x = 17,889.42

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1.5x scale

Why These Related Problems?

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