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Finding the Fourth Proportional to 23,957.12, 35,931.04 and 9,162.57

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Solution

The fourth proportional to 23,957.12, 35,931.04 and 9,162.57 is: 13,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.12 : 35,931.04 = 9,162.57 : x
  2. Step 2: Convert to fraction form
    23,957.12/35,931.04 = 9,162.57/x
  3. Step 3: Cross multiply
    23,957.12x = 35,931.04 × 9,162.57
  4. Step 4: Simplify right side
    23,957.12x = 329,220,630.44
  5. Step 5: Solve for x
    x = 329,220,630.44/23,957.12
  6. Step 6: Final answer
    x = 13,742.08

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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.