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Finding the Fourth Proportional to 23,658.30, 32,648.40 and 13,047.66

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Solution

The fourth proportional to 23,658.30, 32,648.40 and 13,047.66 is: 18,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.30 : 32,648.40 = 13,047.66 : x
  2. Step 2: Convert to fraction form
    23,658.30/32,648.40 = 13,047.66/x
  3. Step 3: Cross multiply
    23,658.30x = 32,648.40 × 13,047.66
  4. Step 4: Simplify right side
    23,658.30x = 425,985,222.74
  5. Step 5: Solve for x
    x = 425,985,222.74/23,658.30
  6. Step 6: Final answer
    x = 18,005.74

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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.