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Finding the Fourth Proportional to 26,219.72, 36,182.88 and 14,283

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Solution

The fourth proportional to 26,219.72, 36,182.88 and 14,283 is: 19,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,219.72 : 36,182.88 = 14,283 : x
  2. Step 2: Convert to fraction form
    26,219.72/36,182.88 = 14,283/x
  3. Step 3: Cross multiply
    26,219.72x = 36,182.88 × 14,283
  4. Step 4: Simplify right side
    26,219.72x = 516,800,075.04
  5. Step 5: Solve for x
    x = 516,800,075.04/26,219.72
  6. Step 6: Final answer
    x = 19,710.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.