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Finding the Fourth Proportional to 13,583.46, 18,747.45 and 7,919.10

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Solution

The fourth proportional to 13,583.46, 18,747.45 and 7,919.10 is: 10,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.46 : 18,747.45 = 7,919.10 : x
  2. Step 2: Convert to fraction form
    13,583.46/18,747.45 = 7,919.10/x
  3. Step 3: Cross multiply
    13,583.46x = 18,747.45 × 7,919.10
  4. Step 4: Simplify right side
    13,583.46x = 148,462,931.30
  5. Step 5: Solve for x
    x = 148,462,931.30/13,583.46
  6. Step 6: Final answer
    x = 10,929.68

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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.