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Finding the Fourth Proportional to 23,347.25, 32,219.06 and 13,275.70

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Solution

The fourth proportional to 23,347.25, 32,219.06 and 13,275.70 is: 18,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.25 : 32,219.06 = 13,275.70 : x
  2. Step 2: Convert to fraction form
    23,347.25/32,219.06 = 13,275.70/x
  3. Step 3: Cross multiply
    23,347.25x = 32,219.06 × 13,275.70
  4. Step 4: Simplify right side
    23,347.25x = 427,730,502.59
  5. Step 5: Solve for x
    x = 427,730,502.59/23,347.25
  6. Step 6: Final answer
    x = 18,320.38

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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.