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Finding the Fourth Proportional to 15,336, 23,005.28 and 4,392

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Solution

The fourth proportional to 15,336, 23,005.28 and 4,392 is: 6,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,336 : 23,005.28 = 4,392 : x
  2. Step 2: Convert to fraction form
    15,336/23,005.28 = 4,392/x
  3. Step 3: Cross multiply
    15,336x = 23,005.28 × 4,392
  4. Step 4: Simplify right side
    15,336x = 101,039,189.76
  5. Step 5: Solve for x
    x = 101,039,189.76/15,336
  6. Step 6: Final answer
    x = 6,588.37

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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.