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Finding the Fourth Proportional to 24,495, 33,803.64 and 13,317

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Solution

The fourth proportional to 24,495, 33,803.64 and 13,317 is: 18,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495 : 33,803.64 = 13,317 : x
  2. Step 2: Convert to fraction form
    24,495/33,803.64 = 13,317/x
  3. Step 3: Cross multiply
    24,495x = 33,803.64 × 13,317
  4. Step 4: Simplify right side
    24,495x = 450,163,073.88
  5. Step 5: Solve for x
    x = 450,163,073.88/24,495
  6. Step 6: Final answer
    x = 18,377.75

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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.