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Finding the Fourth Proportional to 24,509, 33,822.45 and 13,331

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Solution

The fourth proportional to 24,509, 33,822.45 and 13,331 is: 18,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509 : 33,822.45 = 13,331 : x
  2. Step 2: Convert to fraction form
    24,509/33,822.45 = 13,331/x
  3. Step 3: Cross multiply
    24,509x = 33,822.45 × 13,331
  4. Step 4: Simplify right side
    24,509x = 450,887,080.95
  5. Step 5: Solve for x
    x = 450,887,080.95/24,509
  6. Step 6: Final answer
    x = 18,396.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.