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Finding the Fourth Proportional to 13,781.56, 19,018.98 and 7,813

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Solution

The fourth proportional to 13,781.56, 19,018.98 and 7,813 is: 10,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.56 : 19,018.98 = 7,813 : x
  2. Step 2: Convert to fraction form
    13,781.56/19,018.98 = 7,813/x
  3. Step 3: Cross multiply
    13,781.56x = 19,018.98 × 7,813
  4. Step 4: Simplify right side
    13,781.56x = 148,595,290.74
  5. Step 5: Solve for x
    x = 148,595,290.74/13,781.56
  6. Step 6: Final answer
    x = 10,782.18

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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.