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Finding the Fourth Proportional to 21,973.52, 30,319.08 and 13,027.76

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Solution

The fourth proportional to 21,973.52, 30,319.08 and 13,027.76 is: 17,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.52 : 30,319.08 = 13,027.76 : x
  2. Step 2: Convert to fraction form
    21,973.52/30,319.08 = 13,027.76/x
  3. Step 3: Cross multiply
    21,973.52x = 30,319.08 × 13,027.76
  4. Step 4: Simplify right side
    21,973.52x = 394,989,697.66
  5. Step 5: Solve for x
    x = 394,989,697.66/21,973.52
  6. Step 6: Final answer
    x = 17,975.71

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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.