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Finding the Fourth Proportional to 23,446.74, 32,355.28 and 12,834.32

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Solution

The fourth proportional to 23,446.74, 32,355.28 and 12,834.32 is: 17,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.74 : 32,355.28 = 12,834.32 : x
  2. Step 2: Convert to fraction form
    23,446.74/32,355.28 = 12,834.32/x
  3. Step 3: Cross multiply
    23,446.74x = 32,355.28 × 12,834.32
  4. Step 4: Simplify right side
    23,446.74x = 415,258,017.21
  5. Step 5: Solve for x
    x = 415,258,017.21/23,446.74
  6. Step 6: Final answer
    x = 17,710.69

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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.