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Finding the Fourth Proportional to 21,135.80, 31,660.64 and 10,008.75

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Solution

The fourth proportional to 21,135.80, 31,660.64 and 10,008.75 is: 14,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135.80 : 31,660.64 = 10,008.75 : x
  2. Step 2: Convert to fraction form
    21,135.80/31,660.64 = 10,008.75/x
  3. Step 3: Cross multiply
    21,135.80x = 31,660.64 × 10,008.75
  4. Step 4: Simplify right side
    21,135.80x = 316,883,513.41
  5. Step 5: Solve for x
    x = 316,883,513.41/21,135.80
  6. Step 6: Final answer
    x = 14,992.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.