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Finding the Fourth Proportional to 23,658.32, 32,647.30 and 13,047.68

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Solution

The fourth proportional to 23,658.32, 32,647.30 and 13,047.68 is: 18,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.32 : 32,647.30 = 13,047.68 : x
  2. Step 2: Convert to fraction form
    23,658.32/32,647.30 = 13,047.68/x
  3. Step 3: Cross multiply
    23,658.32x = 32,647.30 × 13,047.68
  4. Step 4: Simplify right side
    23,658.32x = 425,971,327.41
  5. Step 5: Solve for x
    x = 425,971,327.41/23,658.32
  6. Step 6: Final answer
    x = 18,005.14

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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.