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Finding the Fourth Proportional to 16,748.96, 23,117 and 9,674.40

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Solution

The fourth proportional to 16,748.96, 23,117 and 9,674.40 is: 13,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,748.96 : 23,117 = 9,674.40 : x
  2. Step 2: Convert to fraction form
    16,748.96/23,117 = 9,674.40/x
  3. Step 3: Cross multiply
    16,748.96x = 23,117 × 9,674.40
  4. Step 4: Simplify right side
    16,748.96x = 223,643,104.80
  5. Step 5: Solve for x
    x = 223,643,104.80/16,748.96
  6. Step 6: Final answer
    x = 13,352.66

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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.