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Finding the Fourth Proportional to 13,987.66, 19,301.58 and 8,017.96

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Solution

The fourth proportional to 13,987.66, 19,301.58 and 8,017.96 is: 11,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.66 : 19,301.58 = 8,017.96 : x
  2. Step 2: Convert to fraction form
    13,987.66/19,301.58 = 8,017.96/x
  3. Step 3: Cross multiply
    13,987.66x = 19,301.58 × 8,017.96
  4. Step 4: Simplify right side
    13,987.66x = 154,759,296.38
  5. Step 5: Solve for x
    x = 154,759,296.38/13,987.66
  6. Step 6: Final answer
    x = 11,063.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.