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Finding the Fourth Proportional to 22,653, 31,261.14 and 13,221.63

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Solution

The fourth proportional to 22,653, 31,261.14 and 13,221.63 is: 18,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653 : 31,261.14 = 13,221.63 : x
  2. Step 2: Convert to fraction form
    22,653/31,261.14 = 13,221.63/x
  3. Step 3: Cross multiply
    22,653x = 31,261.14 × 13,221.63
  4. Step 4: Simplify right side
    22,653x = 413,323,226.46
  5. Step 5: Solve for x
    x = 413,323,226.46/22,653
  6. Step 6: Final answer
    x = 18,245.85

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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.