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Finding the Fourth Proportional to 14,833.60, 22,264.80 and 7,446.40

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Solution

The fourth proportional to 14,833.60, 22,264.80 and 7,446.40 is: 11,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.60 : 22,264.80 = 7,446.40 : x
  2. Step 2: Convert to fraction form
    14,833.60/22,264.80 = 7,446.40/x
  3. Step 3: Cross multiply
    14,833.60x = 22,264.80 × 7,446.40
  4. Step 4: Simplify right side
    14,833.60x = 165,792,606.72
  5. Step 5: Solve for x
    x = 165,792,606.72/14,833.60
  6. Step 6: Final answer
    x = 11,176.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.