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Finding the Fourth Proportional to 13,058.46, 19,563.02 and 10,122.40

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Solution

The fourth proportional to 13,058.46, 19,563.02 and 10,122.40 is: 15,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.46 : 19,563.02 = 10,122.40 : x
  2. Step 2: Convert to fraction form
    13,058.46/19,563.02 = 10,122.40/x
  3. Step 3: Cross multiply
    13,058.46x = 19,563.02 × 10,122.40
  4. Step 4: Simplify right side
    13,058.46x = 198,024,713.65
  5. Step 5: Solve for x
    x = 198,024,713.65/13,058.46
  6. Step 6: Final answer
    x = 15,164.48

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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.