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Finding the Fourth Proportional to 22,882.50, 34,323.95 and 9,031.50

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Solution

The fourth proportional to 22,882.50, 34,323.95 and 9,031.50 is: 13,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.50 : 34,323.95 = 9,031.50 : x
  2. Step 2: Convert to fraction form
    22,882.50/34,323.95 = 9,031.50/x
  3. Step 3: Cross multiply
    22,882.50x = 34,323.95 × 9,031.50
  4. Step 4: Simplify right side
    22,882.50x = 309,996,777.00
  5. Step 5: Solve for x
    x = 309,996,777.00/22,882.50
  6. Step 6: Final answer
    x = 13,547.33

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1.5x scale

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.