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Finding the Fourth Proportional to 19,267, 28,901.32 and 6,119.08

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Solution

The fourth proportional to 19,267, 28,901.32 and 6,119.08 is: 9,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,267 : 28,901.32 = 6,119.08 : x
  2. Step 2: Convert to fraction form
    19,267/28,901.32 = 6,119.08/x
  3. Step 3: Cross multiply
    19,267x = 28,901.32 × 6,119.08
  4. Step 4: Simplify right side
    19,267x = 176,849,489.19
  5. Step 5: Solve for x
    x = 176,849,489.19/19,267
  6. Step 6: Final answer
    x = 9,178.88

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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.