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Finding the Fourth Proportional to 23,347.27, 32,219.08 and 13,275.71

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Solution

The fourth proportional to 23,347.27, 32,219.08 and 13,275.71 is: 18,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.27 : 32,219.08 = 13,275.71 : x
  2. Step 2: Convert to fraction form
    23,347.27/32,219.08 = 13,275.71/x
  3. Step 3: Cross multiply
    23,347.27x = 32,219.08 × 13,275.71
  4. Step 4: Simplify right side
    23,347.27x = 427,731,162.55
  5. Step 5: Solve for x
    x = 427,731,162.55/23,347.27
  6. Step 6: Final answer
    x = 18,320.39

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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.