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Finding the Fourth Proportional to 22,023.31, 33,034.95 and 7,802.32

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Solution

The fourth proportional to 22,023.31, 33,034.95 and 7,802.32 is: 11,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.31 : 33,034.95 = 7,802.32 : x
  2. Step 2: Convert to fraction form
    22,023.31/33,034.95 = 7,802.32/x
  3. Step 3: Cross multiply
    22,023.31x = 33,034.95 × 7,802.32
  4. Step 4: Simplify right side
    22,023.31x = 257,749,251.08
  5. Step 5: Solve for x
    x = 257,749,251.08/22,023.31
  6. Step 6: Final answer
    x = 11,703.47

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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.