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Finding the Fourth Proportional to 23,376, 32,258.85 and 13,819.33

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Solution

The fourth proportional to 23,376, 32,258.85 and 13,819.33 is: 19,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376 : 32,258.85 = 13,819.33 : x
  2. Step 2: Convert to fraction form
    23,376/32,258.85 = 13,819.33/x
  3. Step 3: Cross multiply
    23,376x = 32,258.85 × 13,819.33
  4. Step 4: Simplify right side
    23,376x = 445,795,693.57
  5. Step 5: Solve for x
    x = 445,795,693.57/23,376
  6. Step 6: Final answer
    x = 19,070.66

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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.