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Finding the Fourth Proportional to 13,474.09, 20,332.87 and 13,058.56

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Solution

The fourth proportional to 13,474.09, 20,332.87 and 13,058.56 is: 19,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.09 : 20,332.87 = 13,058.56 : x
  2. Step 2: Convert to fraction form
    13,474.09/20,332.87 = 13,058.56/x
  3. Step 3: Cross multiply
    13,474.09x = 20,332.87 × 13,058.56
  4. Step 4: Simplify right side
    13,474.09x = 265,518,002.87
  5. Step 5: Solve for x
    x = 265,518,002.87/13,474.09
  6. Step 6: Final answer
    x = 19,705.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.