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Finding the Fourth Proportional to 13,956.17, 19,259.67 and 7,987.47

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Solution

The fourth proportional to 13,956.17, 19,259.67 and 7,987.47 is: 11,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.17 : 19,259.67 = 7,987.47 : x
  2. Step 2: Convert to fraction form
    13,956.17/19,259.67 = 7,987.47/x
  3. Step 3: Cross multiply
    13,956.17x = 19,259.67 × 7,987.47
  4. Step 4: Simplify right side
    13,956.17x = 153,836,036.33
  5. Step 5: Solve for x
    x = 153,836,036.33/13,956.17
  6. Step 6: Final answer
    x = 11,022.80

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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.