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Finding the Fourth Proportional to 23,364.71, 35,052.65 and 7,569.75

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Solution

The fourth proportional to 23,364.71, 35,052.65 and 7,569.75 is: 11,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364.71 : 35,052.65 = 7,569.75 : x
  2. Step 2: Convert to fraction form
    23,364.71/35,052.65 = 7,569.75/x
  3. Step 3: Cross multiply
    23,364.71x = 35,052.65 × 7,569.75
  4. Step 4: Simplify right side
    23,364.71x = 265,339,797.34
  5. Step 5: Solve for x
    x = 265,339,797.34/23,364.71
  6. Step 6: Final answer
    x = 11,356.43

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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.