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Finding the Fourth Proportional to 24,617.66, 33,971.19 and 14,006.30

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Solution

The fourth proportional to 24,617.66, 33,971.19 and 14,006.30 is: 19,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.66 : 33,971.19 = 14,006.30 : x
  2. Step 2: Convert to fraction form
    24,617.66/33,971.19 = 14,006.30/x
  3. Step 3: Cross multiply
    24,617.66x = 33,971.19 × 14,006.30
  4. Step 4: Simplify right side
    24,617.66x = 475,810,678.50
  5. Step 5: Solve for x
    x = 475,810,678.50/24,617.66
  6. Step 6: Final answer
    x = 19,328.02

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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.