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Finding the Fourth Proportional to 24,499, 33,808.62 and 13,321

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Solution

The fourth proportional to 24,499, 33,808.62 and 13,321 is: 18,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499 : 33,808.62 = 13,321 : x
  2. Step 2: Convert to fraction form
    24,499/33,808.62 = 13,321/x
  3. Step 3: Cross multiply
    24,499x = 33,808.62 × 13,321
  4. Step 4: Simplify right side
    24,499x = 450,364,627.02
  5. Step 5: Solve for x
    x = 450,364,627.02/24,499
  6. Step 6: Final answer
    x = 18,382.98

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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.