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Finding the Fourth Proportional to 13,810.77, 19,058.85 and 7,523.19

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Solution

The fourth proportional to 13,810.77, 19,058.85 and 7,523.19 is: 10,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.77 : 19,058.85 = 7,523.19 : x
  2. Step 2: Convert to fraction form
    13,810.77/19,058.85 = 7,523.19/x
  3. Step 3: Cross multiply
    13,810.77x = 19,058.85 × 7,523.19
  4. Step 4: Simplify right side
    13,810.77x = 143,383,349.73
  5. Step 5: Solve for x
    x = 143,383,349.73/13,810.77
  6. Step 6: Final answer
    x = 10,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.