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Finding the Fourth Proportional to 13,924.74, 19,214.88 and 7,956.38

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Solution

The fourth proportional to 13,924.74, 19,214.88 and 7,956.38 is: 10,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.74 : 19,214.88 = 7,956.38 : x
  2. Step 2: Convert to fraction form
    13,924.74/19,214.88 = 7,956.38/x
  3. Step 3: Cross multiply
    13,924.74x = 19,214.88 × 7,956.38
  4. Step 4: Simplify right side
    13,924.74x = 152,880,886.93
  5. Step 5: Solve for x
    x = 152,880,886.93/13,924.74
  6. Step 6: Final answer
    x = 10,979.08

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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.