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Finding the Fourth Proportional to 18,785.64, 25,924.80 and 10,402.08

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Solution

The fourth proportional to 18,785.64, 25,924.80 and 10,402.08 is: 14,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,785.64 : 25,924.80 = 10,402.08 : x
  2. Step 2: Convert to fraction form
    18,785.64/25,924.80 = 10,402.08/x
  3. Step 3: Cross multiply
    18,785.64x = 25,924.80 × 10,402.08
  4. Step 4: Simplify right side
    18,785.64x = 269,671,843.58
  5. Step 5: Solve for x
    x = 269,671,843.58/18,785.64
  6. Step 6: Final answer
    x = 14,355.21

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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.