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Finding the Fourth Proportional to 24,399, 33,670.62 and 13,221

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Solution

The fourth proportional to 24,399, 33,670.62 and 13,221 is: 18,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399 : 33,670.62 = 13,221 : x
  2. Step 2: Convert to fraction form
    24,399/33,670.62 = 13,221/x
  3. Step 3: Cross multiply
    24,399x = 33,670.62 × 13,221
  4. Step 4: Simplify right side
    24,399x = 445,159,267.02
  5. Step 5: Solve for x
    x = 445,159,267.02/24,399
  6. Step 6: Final answer
    x = 18,244.98

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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.