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Finding the Fourth Proportional to 17,113.94, 23,614.36 and 9,560

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Solution

The fourth proportional to 17,113.94, 23,614.36 and 9,560 is: 13,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.94 : 23,614.36 = 9,560 : x
  2. Step 2: Convert to fraction form
    17,113.94/23,614.36 = 9,560/x
  3. Step 3: Cross multiply
    17,113.94x = 23,614.36 × 9,560
  4. Step 4: Simplify right side
    17,113.94x = 225,753,281.60
  5. Step 5: Solve for x
    x = 225,753,281.60/17,113.94
  6. Step 6: Final answer
    x = 13,191.19

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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.