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Finding the Fourth Proportional to 23,658.39, 32,648.00 and 13,047.81

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Solution

The fourth proportional to 23,658.39, 32,648.00 and 13,047.81 is: 18,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.39 : 32,648.00 = 13,047.81 : x
  2. Step 2: Convert to fraction form
    23,658.39/32,648.00 = 13,047.81/x
  3. Step 3: Cross multiply
    23,658.39x = 32,648.00 × 13,047.81
  4. Step 4: Simplify right side
    23,658.39x = 425,984,835.64
  5. Step 5: Solve for x
    x = 425,984,835.64/23,658.39
  6. Step 6: Final answer
    x = 18,005.66

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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.