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Finding the Fourth Proportional to 14,823.52, 20,447.52 and 9,787.76

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Solution

The fourth proportional to 14,823.52, 20,447.52 and 9,787.76 is: 13,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.52 : 20,447.52 = 9,787.76 : x
  2. Step 2: Convert to fraction form
    14,823.52/20,447.52 = 9,787.76/x
  3. Step 3: Cross multiply
    14,823.52x = 20,447.52 × 9,787.76
  4. Step 4: Simplify right side
    14,823.52x = 200,135,418.36
  5. Step 5: Solve for x
    x = 200,135,418.36/14,823.52
  6. Step 6: Final answer
    x = 13,501.21

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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.