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Finding the Fourth Proportional to 13,924.47, 19,214.04 and 7,956.53

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Solution

The fourth proportional to 13,924.47, 19,214.04 and 7,956.53 is: 10,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.47 : 19,214.04 = 7,956.53 : x
  2. Step 2: Convert to fraction form
    13,924.47/19,214.04 = 7,956.53/x
  3. Step 3: Cross multiply
    13,924.47x = 19,214.04 × 7,956.53
  4. Step 4: Simplify right side
    13,924.47x = 152,877,091.50
  5. Step 5: Solve for x
    x = 152,877,091.50/13,924.47
  6. Step 6: Final answer
    x = 10,979.02

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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.