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Finding the Fourth Proportional to 23,043.28, 34,564.86 and 9,202

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Solution

The fourth proportional to 23,043.28, 34,564.86 and 9,202 is: 13,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.28 : 34,564.86 = 9,202 : x
  2. Step 2: Convert to fraction form
    23,043.28/34,564.86 = 9,202/x
  3. Step 3: Cross multiply
    23,043.28x = 34,564.86 × 9,202
  4. Step 4: Simplify right side
    23,043.28x = 318,065,841.72
  5. Step 5: Solve for x
    x = 318,065,841.72/23,043.28
  6. Step 6: Final answer
    x = 13,802.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.