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Finding the Fourth Proportional to 14,446.32, 19,928.30 and 9,722.40

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Solution

The fourth proportional to 14,446.32, 19,928.30 and 9,722.40 is: 13,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.32 : 19,928.30 = 9,722.40 : x
  2. Step 2: Convert to fraction form
    14,446.32/19,928.30 = 9,722.40/x
  3. Step 3: Cross multiply
    14,446.32x = 19,928.30 × 9,722.40
  4. Step 4: Simplify right side
    14,446.32x = 193,750,903.92
  5. Step 5: Solve for x
    x = 193,750,903.92/14,446.32
  6. Step 6: Final answer
    x = 13,411.78

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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.