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Finding the Fourth Proportional to 17,176.32, 23,702 and 10,461.20

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Solution

The fourth proportional to 17,176.32, 23,702 and 10,461.20 is: 14,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176.32 : 23,702 = 10,461.20 : x
  2. Step 2: Convert to fraction form
    17,176.32/23,702 = 10,461.20/x
  3. Step 3: Cross multiply
    17,176.32x = 23,702 × 10,461.20
  4. Step 4: Simplify right side
    17,176.32x = 247,951,362.40
  5. Step 5: Solve for x
    x = 247,951,362.40/17,176.32
  6. Step 6: Final answer
    x = 14,435.65

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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.