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Finding the Fourth Proportional to 22,184.58, 30,613.38 and 12,753.16

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Solution

The fourth proportional to 22,184.58, 30,613.38 and 12,753.16 is: 17,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.58 : 30,613.38 = 12,753.16 : x
  2. Step 2: Convert to fraction form
    22,184.58/30,613.38 = 12,753.16/x
  3. Step 3: Cross multiply
    22,184.58x = 30,613.38 × 12,753.16
  4. Step 4: Simplify right side
    22,184.58x = 390,417,333.28
  5. Step 5: Solve for x
    x = 390,417,333.28/22,184.58
  6. Step 6: Final answer
    x = 17,598.59

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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.