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Finding the Fourth Proportional to 13,058.90, 19,591.74 and 5,661.65

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Solution

The fourth proportional to 13,058.90, 19,591.74 and 5,661.65 is: 8,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.90 : 19,591.74 = 5,661.65 : x
  2. Step 2: Convert to fraction form
    13,058.90/19,591.74 = 5,661.65/x
  3. Step 3: Cross multiply
    13,058.90x = 19,591.74 × 5,661.65
  4. Step 4: Simplify right side
    13,058.90x = 110,921,574.77
  5. Step 5: Solve for x
    x = 110,921,574.77/13,058.90
  6. Step 6: Final answer
    x = 8,493.94

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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.