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Finding the Fourth Proportional to 34,264.39, 51,416.03 and 13,502.47

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Solution

The fourth proportional to 34,264.39, 51,416.03 and 13,502.47 is: 20,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,264.39 : 51,416.03 = 13,502.47 : x
  2. Step 2: Convert to fraction form
    34,264.39/51,416.03 = 13,502.47/x
  3. Step 3: Cross multiply
    34,264.39x = 51,416.03 × 13,502.47
  4. Step 4: Simplify right side
    34,264.39x = 694,243,335.08
  5. Step 5: Solve for x
    x = 694,243,335.08/34,264.39
  6. Step 6: Final answer
    x = 20,261.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.