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Finding the Fourth Proportional to 13,810.78, 19,058.91 and 7,523.20

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Solution

The fourth proportional to 13,810.78, 19,058.91 and 7,523.20 is: 10,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.78 : 19,058.91 = 7,523.20 : x
  2. Step 2: Convert to fraction form
    13,810.78/19,058.91 = 7,523.20/x
  3. Step 3: Cross multiply
    13,810.78x = 19,058.91 × 7,523.20
  4. Step 4: Simplify right side
    13,810.78x = 143,383,991.71
  5. Step 5: Solve for x
    x = 143,383,991.71/13,810.78
  6. Step 6: Final answer
    x = 10,382.03

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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.