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Finding the Fourth Proportional to 22,184.82, 30,613.75 and 12,753.38

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Solution

The fourth proportional to 22,184.82, 30,613.75 and 12,753.38 is: 17,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.82 : 30,613.75 = 12,753.38 : x
  2. Step 2: Convert to fraction form
    22,184.82/30,613.75 = 12,753.38/x
  3. Step 3: Cross multiply
    22,184.82x = 30,613.75 × 12,753.38
  4. Step 4: Simplify right side
    22,184.82x = 390,428,831.63
  5. Step 5: Solve for x
    x = 390,428,831.63/22,184.82
  6. Step 6: Final answer
    x = 17,598.92

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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.