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Finding the Fourth Proportional to 13,187.84, 18,199.15 and 7,219.40

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Solution

The fourth proportional to 13,187.84, 18,199.15 and 7,219.40 is: 9,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.84 : 18,199.15 = 7,219.40 : x
  2. Step 2: Convert to fraction form
    13,187.84/18,199.15 = 7,219.40/x
  3. Step 3: Cross multiply
    13,187.84x = 18,199.15 × 7,219.40
  4. Step 4: Simplify right side
    13,187.84x = 131,386,834.47
  5. Step 5: Solve for x
    x = 131,386,834.47/13,187.84
  6. Step 6: Final answer
    x = 9,962.73

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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.