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Finding the Fourth Proportional to 22,856.90, 34,288.77 and 7,278.02

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Solution

The fourth proportional to 22,856.90, 34,288.77 and 7,278.02 is: 10,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.90 : 34,288.77 = 7,278.02 : x
  2. Step 2: Convert to fraction form
    22,856.90/34,288.77 = 7,278.02/x
  3. Step 3: Cross multiply
    22,856.90x = 34,288.77 × 7,278.02
  4. Step 4: Simplify right side
    22,856.90x = 249,554,353.84
  5. Step 5: Solve for x
    x = 249,554,353.84/22,856.90
  6. Step 6: Final answer
    x = 10,918.12

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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.