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Finding the Fourth Proportional to 23,688, 32,689.04 and 13,077.41

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Solution

The fourth proportional to 23,688, 32,689.04 and 13,077.41 is: 18,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688 : 32,689.04 = 13,077.41 : x
  2. Step 2: Convert to fraction form
    23,688/32,689.04 = 13,077.41/x
  3. Step 3: Cross multiply
    23,688x = 32,689.04 × 13,077.41
  4. Step 4: Simplify right side
    23,688x = 427,487,749.75
  5. Step 5: Solve for x
    x = 427,487,749.75/23,688
  6. Step 6: Final answer
    x = 18,046.60

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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.