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Finding the Fourth Proportional to 24,588, 33,932.52 and 13,410

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Solution

The fourth proportional to 24,588, 33,932.52 and 13,410 is: 18,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588 : 33,932.52 = 13,410 : x
  2. Step 2: Convert to fraction form
    24,588/33,932.52 = 13,410/x
  3. Step 3: Cross multiply
    24,588x = 33,932.52 × 13,410
  4. Step 4: Simplify right side
    24,588x = 455,035,093.20
  5. Step 5: Solve for x
    x = 455,035,093.20/24,588
  6. Step 6: Final answer
    x = 18,506.39

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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.