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Finding the Fourth Proportional to 13,810.76, 19,058.82 and 7,523.12

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Solution

The fourth proportional to 13,810.76, 19,058.82 and 7,523.12 is: 10,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.76 : 19,058.82 = 7,523.12 : x
  2. Step 2: Convert to fraction form
    13,810.76/19,058.82 = 7,523.12/x
  3. Step 3: Cross multiply
    13,810.76x = 19,058.82 × 7,523.12
  4. Step 4: Simplify right side
    13,810.76x = 143,381,789.92
  5. Step 5: Solve for x
    x = 143,381,789.92/13,810.76
  6. Step 6: Final answer
    x = 10,381.89

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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.