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Finding the Fourth Proportional to 23,751.68, 35,655.11 and 13,898.02

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Solution

The fourth proportional to 23,751.68, 35,655.11 and 13,898.02 is: 20,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.68 : 35,655.11 = 13,898.02 : x
  2. Step 2: Convert to fraction form
    23,751.68/35,655.11 = 13,898.02/x
  3. Step 3: Cross multiply
    23,751.68x = 35,655.11 × 13,898.02
  4. Step 4: Simplify right side
    23,751.68x = 495,535,431.88
  5. Step 5: Solve for x
    x = 495,535,431.88/23,751.68
  6. Step 6: Final answer
    x = 20,863.17

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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.