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Finding the Fourth Proportional to 18,712.64, 25,823.76 and 10,215.20

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Solution

The fourth proportional to 18,712.64, 25,823.76 and 10,215.20 is: 14,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712.64 : 25,823.76 = 10,215.20 : x
  2. Step 2: Convert to fraction form
    18,712.64/25,823.76 = 10,215.20/x
  3. Step 3: Cross multiply
    18,712.64x = 25,823.76 × 10,215.20
  4. Step 4: Simplify right side
    18,712.64x = 263,794,873.15
  5. Step 5: Solve for x
    x = 263,794,873.15/18,712.64
  6. Step 6: Final answer
    x = 14,097.15

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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.