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Finding the Fourth Proportional to 24,564.84, 36,814.74 and 8,967.48

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Solution

The fourth proportional to 24,564.84, 36,814.74 and 8,967.48 is: 13,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.84 : 36,814.74 = 8,967.48 : x
  2. Step 2: Convert to fraction form
    24,564.84/36,814.74 = 8,967.48/x
  3. Step 3: Cross multiply
    24,564.84x = 36,814.74 × 8,967.48
  4. Step 4: Simplify right side
    24,564.84x = 330,135,444.66
  5. Step 5: Solve for x
    x = 330,135,444.66/24,564.84
  6. Step 6: Final answer
    x = 13,439.35

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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.