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Finding the Fourth Proportional to 23,810.28, 32,812.88 and 17,438.82

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Solution

The fourth proportional to 23,810.28, 32,812.88 and 17,438.82 is: 24,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.28 : 32,812.88 = 17,438.82 : x
  2. Step 2: Convert to fraction form
    23,810.28/32,812.88 = 17,438.82/x
  3. Step 3: Cross multiply
    23,810.28x = 32,812.88 × 17,438.82
  4. Step 4: Simplify right side
    23,810.28x = 572,217,820.81
  5. Step 5: Solve for x
    x = 572,217,820.81/23,810.28
  6. Step 6: Final answer
    x = 24,032.39

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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.