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Finding the Fourth Proportional to 27,716, 41,574.36 and 9,248

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Solution

The fourth proportional to 27,716, 41,574.36 and 9,248 is: 13,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716 : 41,574.36 = 9,248 : x
  2. Step 2: Convert to fraction form
    27,716/41,574.36 = 9,248/x
  3. Step 3: Cross multiply
    27,716x = 41,574.36 × 9,248
  4. Step 4: Simplify right side
    27,716x = 384,479,681.28
  5. Step 5: Solve for x
    x = 384,479,681.28/27,716
  6. Step 6: Final answer
    x = 13,872.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.