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Finding the Fourth Proportional to 14,588.32, 21,877.68 and 8,021.92

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Solution

The fourth proportional to 14,588.32, 21,877.68 and 8,021.92 is: 12,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.32 : 21,877.68 = 8,021.92 : x
  2. Step 2: Convert to fraction form
    14,588.32/21,877.68 = 8,021.92/x
  3. Step 3: Cross multiply
    14,588.32x = 21,877.68 × 8,021.92
  4. Step 4: Simplify right side
    14,588.32x = 175,500,998.75
  5. Step 5: Solve for x
    x = 175,500,998.75/14,588.32
  6. Step 6: Final answer
    x = 12,030.24

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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.