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Finding the Fourth Proportional to 22,364, 33,547.14 and 5,724.17

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Solution

The fourth proportional to 22,364, 33,547.14 and 5,724.17 is: 8,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364 : 33,547.14 = 5,724.17 : x
  2. Step 2: Convert to fraction form
    22,364/33,547.14 = 5,724.17/x
  3. Step 3: Cross multiply
    22,364x = 33,547.14 × 5,724.17
  4. Step 4: Simplify right side
    22,364x = 192,029,532.37
  5. Step 5: Solve for x
    x = 192,029,532.37/22,364
  6. Step 6: Final answer
    x = 8,586.55

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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.