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Finding the Fourth Proportional to 23,768, 35,653.92 and 7,352

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Solution

The fourth proportional to 23,768, 35,653.92 and 7,352 is: 11,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768 : 35,653.92 = 7,352 : x
  2. Step 2: Convert to fraction form
    23,768/35,653.92 = 7,352/x
  3. Step 3: Cross multiply
    23,768x = 35,653.92 × 7,352
  4. Step 4: Simplify right side
    23,768x = 262,127,619.84
  5. Step 5: Solve for x
    x = 262,127,619.84/23,768
  6. Step 6: Final answer
    x = 11,028.59

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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.