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Finding the Fourth Proportional to 23,648.72, 32,635.46 and 13,038.74

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Solution

The fourth proportional to 23,648.72, 32,635.46 and 13,038.74 is: 17,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.72 : 32,635.46 = 13,038.74 : x
  2. Step 2: Convert to fraction form
    23,648.72/32,635.46 = 13,038.74/x
  3. Step 3: Cross multiply
    23,648.72x = 32,635.46 × 13,038.74
  4. Step 4: Simplify right side
    23,648.72x = 425,525,049.35
  5. Step 5: Solve for x
    x = 425,525,049.35/23,648.72
  6. Step 6: Final answer
    x = 17,993.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.