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Finding the Fourth Proportional to 23,348.27, 32,219.64 and 13,275.32

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Solution

The fourth proportional to 23,348.27, 32,219.64 and 13,275.32 is: 18,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.27 : 32,219.64 = 13,275.32 : x
  2. Step 2: Convert to fraction form
    23,348.27/32,219.64 = 13,275.32/x
  3. Step 3: Cross multiply
    23,348.27x = 32,219.64 × 13,275.32
  4. Step 4: Simplify right side
    23,348.27x = 427,725,870.19
  5. Step 5: Solve for x
    x = 427,725,870.19/23,348.27
  6. Step 6: Final answer
    x = 18,319.38

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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.