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Finding the Fourth Proportional to 13,503.84, 20,222.28 and 9,348

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Solution

The fourth proportional to 13,503.84, 20,222.28 and 9,348 is: 13,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.84 : 20,222.28 = 9,348 : x
  2. Step 2: Convert to fraction form
    13,503.84/20,222.28 = 9,348/x
  3. Step 3: Cross multiply
    13,503.84x = 20,222.28 × 9,348
  4. Step 4: Simplify right side
    13,503.84x = 189,037,873.44
  5. Step 5: Solve for x
    x = 189,037,873.44/13,503.84
  6. Step 6: Final answer
    x = 13,998.82

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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.