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Finding the Fourth Proportional to 13,681.95, 18,878.68 and 7,713.87

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Solution

The fourth proportional to 13,681.95, 18,878.68 and 7,713.87 is: 10,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.95 : 18,878.68 = 7,713.87 : x
  2. Step 2: Convert to fraction form
    13,681.95/18,878.68 = 7,713.87/x
  3. Step 3: Cross multiply
    13,681.95x = 18,878.68 × 7,713.87
  4. Step 4: Simplify right side
    13,681.95x = 145,627,622.14
  5. Step 5: Solve for x
    x = 145,627,622.14/13,681.95
  6. Step 6: Final answer
    x = 10,643.78

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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.