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Finding the Fourth Proportional to 22,652, 31,262.64 and 12,716

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Solution

The fourth proportional to 22,652, 31,262.64 and 12,716 is: 17,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652 : 31,262.64 = 12,716 : x
  2. Step 2: Convert to fraction form
    22,652/31,262.64 = 12,716/x
  3. Step 3: Cross multiply
    22,652x = 31,262.64 × 12,716
  4. Step 4: Simplify right side
    22,652x = 397,535,730.24
  5. Step 5: Solve for x
    x = 397,535,730.24/22,652
  6. Step 6: Final answer
    x = 17,549.70

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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.