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Finding the Fourth Proportional to 19,254, 28,876.56 and 6,103.92

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Solution

The fourth proportional to 19,254, 28,876.56 and 6,103.92 is: 9,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254 : 28,876.56 = 6,103.92 : x
  2. Step 2: Convert to fraction form
    19,254/28,876.56 = 6,103.92/x
  3. Step 3: Cross multiply
    19,254x = 28,876.56 × 6,103.92
  4. Step 4: Simplify right side
    19,254x = 176,260,212.12
  5. Step 5: Solve for x
    x = 176,260,212.12/19,254
  6. Step 6: Final answer
    x = 9,154.47

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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.