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Finding the Fourth Proportional to 23,648.57, 32,635.24 and 13,038.58

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Solution

The fourth proportional to 23,648.57, 32,635.24 and 13,038.58 is: 17,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.57 : 32,635.24 = 13,038.58 : x
  2. Step 2: Convert to fraction form
    23,648.57/32,635.24 = 13,038.58/x
  3. Step 3: Cross multiply
    23,648.57x = 32,635.24 × 13,038.58
  4. Step 4: Simplify right side
    23,648.57x = 425,517,024.38
  5. Step 5: Solve for x
    x = 425,517,024.38/23,648.57
  6. Step 6: Final answer
    x = 17,993.35

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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.