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Finding the Fourth Proportional to 12,352.32, 18,446.88 and 11,678.40

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Solution

The fourth proportional to 12,352.32, 18,446.88 and 11,678.40 is: 17,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.32 : 18,446.88 = 11,678.40 : x
  2. Step 2: Convert to fraction form
    12,352.32/18,446.88 = 11,678.40/x
  3. Step 3: Cross multiply
    12,352.32x = 18,446.88 × 11,678.40
  4. Step 4: Simplify right side
    12,352.32x = 215,430,043.39
  5. Step 5: Solve for x
    x = 215,430,043.39/12,352.32
  6. Step 6: Final answer
    x = 17,440.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.