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Finding the Fourth Proportional to 27,800.42, 38,364.72 and 15,864

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Solution

The fourth proportional to 27,800.42, 38,364.72 and 15,864 is: 21,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.42 : 38,364.72 = 15,864 : x
  2. Step 2: Convert to fraction form
    27,800.42/38,364.72 = 15,864/x
  3. Step 3: Cross multiply
    27,800.42x = 38,364.72 × 15,864
  4. Step 4: Simplify right side
    27,800.42x = 608,617,918.08
  5. Step 5: Solve for x
    x = 608,617,918.08/27,800.42
  6. Step 6: Final answer
    x = 21,892.40

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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.