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Finding the Fourth Proportional to 16,767.84, 23,140.08 and 9,316.32

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Solution

The fourth proportional to 16,767.84, 23,140.08 and 9,316.32 is: 12,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.84 : 23,140.08 = 9,316.32 : x
  2. Step 2: Convert to fraction form
    16,767.84/23,140.08 = 9,316.32/x
  3. Step 3: Cross multiply
    16,767.84x = 23,140.08 × 9,316.32
  4. Step 4: Simplify right side
    16,767.84x = 215,580,390.11
  5. Step 5: Solve for x
    x = 215,580,390.11/16,767.84
  6. Step 6: Final answer
    x = 12,856.78

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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.