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Finding the Fourth Proportional to 22,814.60, 31,484.16 and 12,743.02

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Solution

The fourth proportional to 22,814.60, 31,484.16 and 12,743.02 is: 17,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.60 : 31,484.16 = 12,743.02 : x
  2. Step 2: Convert to fraction form
    22,814.60/31,484.16 = 12,743.02/x
  3. Step 3: Cross multiply
    22,814.60x = 31,484.16 × 12,743.02
  4. Step 4: Simplify right side
    22,814.60x = 401,203,319.92
  5. Step 5: Solve for x
    x = 401,203,319.92/22,814.60
  6. Step 6: Final answer
    x = 17,585.38

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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.