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Finding the Fourth Proportional to 22,309.72, 33,458.98 and 9,165.72

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Solution

The fourth proportional to 22,309.72, 33,458.98 and 9,165.72 is: 13,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.72 : 33,458.98 = 9,165.72 : x
  2. Step 2: Convert to fraction form
    22,309.72/33,458.98 = 9,165.72/x
  3. Step 3: Cross multiply
    22,309.72x = 33,458.98 × 9,165.72
  4. Step 4: Simplify right side
    22,309.72x = 306,675,642.17
  5. Step 5: Solve for x
    x = 306,675,642.17/22,309.72
  6. Step 6: Final answer
    x = 13,746.28

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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.