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Finding the Fourth Proportional to 13,709.79, 18,919.53 and 7,422.17

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Solution

The fourth proportional to 13,709.79, 18,919.53 and 7,422.17 is: 10,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.79 : 18,919.53 = 7,422.17 : x
  2. Step 2: Convert to fraction form
    13,709.79/18,919.53 = 7,422.17/x
  3. Step 3: Cross multiply
    13,709.79x = 18,919.53 × 7,422.17
  4. Step 4: Simplify right side
    13,709.79x = 140,423,873.38
  5. Step 5: Solve for x
    x = 140,423,873.38/13,709.79
  6. Step 6: Final answer
    x = 10,242.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.