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Finding the Fourth Proportional to 22,345.62, 30,837.04 and 12,274.25

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Solution

The fourth proportional to 22,345.62, 30,837.04 and 12,274.25 is: 16,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.62 : 30,837.04 = 12,274.25 : x
  2. Step 2: Convert to fraction form
    22,345.62/30,837.04 = 12,274.25/x
  3. Step 3: Cross multiply
    22,345.62x = 30,837.04 × 12,274.25
  4. Step 4: Simplify right side
    22,345.62x = 378,501,643.64
  5. Step 5: Solve for x
    x = 378,501,643.64/22,345.62
  6. Step 6: Final answer
    x = 16,938.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.