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Finding the Fourth Proportional to 26,219.52, 36,182.52 and 14,283

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Solution

The fourth proportional to 26,219.52, 36,182.52 and 14,283 is: 19,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,219.52 : 36,182.52 = 14,283 : x
  2. Step 2: Convert to fraction form
    26,219.52/36,182.52 = 14,283/x
  3. Step 3: Cross multiply
    26,219.52x = 36,182.52 × 14,283
  4. Step 4: Simplify right side
    26,219.52x = 516,794,933.16
  5. Step 5: Solve for x
    x = 516,794,933.16/26,219.52
  6. Step 6: Final answer
    x = 19,710.31

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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.