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Finding the Fourth Proportional to 23,851.68, 35,750.52 and 12,140.16

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Solution

The fourth proportional to 23,851.68, 35,750.52 and 12,140.16 is: 18,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.68 : 35,750.52 = 12,140.16 : x
  2. Step 2: Convert to fraction form
    23,851.68/35,750.52 = 12,140.16/x
  3. Step 3: Cross multiply
    23,851.68x = 35,750.52 × 12,140.16
  4. Step 4: Simplify right side
    23,851.68x = 434,017,032.88
  5. Step 5: Solve for x
    x = 434,017,032.88/23,851.68
  6. Step 6: Final answer
    x = 18,196.50

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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.