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Finding the Fourth Proportional to 13,854.60, 19,119.47 and 7,886.65

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Solution

The fourth proportional to 13,854.60, 19,119.47 and 7,886.65 is: 10,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.60 : 19,119.47 = 7,886.65 : x
  2. Step 2: Convert to fraction form
    13,854.60/19,119.47 = 7,886.65/x
  3. Step 3: Cross multiply
    13,854.60x = 19,119.47 × 7,886.65
  4. Step 4: Simplify right side
    13,854.60x = 150,788,568.08
  5. Step 5: Solve for x
    x = 150,788,568.08/13,854.60
  6. Step 6: Final answer
    x = 10,883.65

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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.