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Finding the Fourth Proportional to 13,810.75, 19,058.91 and 7,523.14

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Solution

The fourth proportional to 13,810.75, 19,058.91 and 7,523.14 is: 10,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.75 : 19,058.91 = 7,523.14 : x
  2. Step 2: Convert to fraction form
    13,810.75/19,058.91 = 7,523.14/x
  3. Step 3: Cross multiply
    13,810.75x = 19,058.91 × 7,523.14
  4. Step 4: Simplify right side
    13,810.75x = 143,382,848.18
  5. Step 5: Solve for x
    x = 143,382,848.18/13,810.75
  6. Step 6: Final answer
    x = 10,381.97

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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.