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Finding the Fourth Proportional to 13,854.61, 19,117.62 and 7,886.40

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Solution

The fourth proportional to 13,854.61, 19,117.62 and 7,886.40 is: 10,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.61 : 19,117.62 = 7,886.40 : x
  2. Step 2: Convert to fraction form
    13,854.61/19,117.62 = 7,886.40/x
  3. Step 3: Cross multiply
    13,854.61x = 19,117.62 × 7,886.40
  4. Step 4: Simplify right side
    13,854.61x = 150,769,198.37
  5. Step 5: Solve for x
    x = 150,769,198.37/13,854.61
  6. Step 6: Final answer
    x = 10,882.24

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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.