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Finding the Fourth Proportional to 24,814.32, 37,199.58 and 9,221

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Solution

The fourth proportional to 24,814.32, 37,199.58 and 9,221 is: 13,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.32 : 37,199.58 = 9,221 : x
  2. Step 2: Convert to fraction form
    24,814.32/37,199.58 = 9,221/x
  3. Step 3: Cross multiply
    24,814.32x = 37,199.58 × 9,221
  4. Step 4: Simplify right side
    24,814.32x = 343,017,327.18
  5. Step 5: Solve for x
    x = 343,017,327.18/24,814.32
  6. Step 6: Final answer
    x = 13,823.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.