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Finding the Fourth Proportional to 13,854.93, 19,106.82 and 11,031.62

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Solution

The fourth proportional to 13,854.93, 19,106.82 and 11,031.62 is: 15,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.93 : 19,106.82 = 11,031.62 : x
  2. Step 2: Convert to fraction form
    13,854.93/19,106.82 = 11,031.62/x
  3. Step 3: Cross multiply
    13,854.93x = 19,106.82 × 11,031.62
  4. Step 4: Simplify right side
    13,854.93x = 210,779,177.65
  5. Step 5: Solve for x
    x = 210,779,177.65/13,854.93
  6. Step 6: Final answer
    x = 15,213.30

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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.