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Finding the Fourth Proportional to 13,984.68, 19,298.86 and 7,697

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Solution

The fourth proportional to 13,984.68, 19,298.86 and 7,697 is: 10,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.68 : 19,298.86 = 7,697 : x
  2. Step 2: Convert to fraction form
    13,984.68/19,298.86 = 7,697/x
  3. Step 3: Cross multiply
    13,984.68x = 19,298.86 × 7,697
  4. Step 4: Simplify right side
    13,984.68x = 148,543,325.42
  5. Step 5: Solve for x
    x = 148,543,325.42/13,984.68
  6. Step 6: Final answer
    x = 10,621.86

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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.