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Finding the Fourth Proportional to 24,165.70, 33,333.32 and 17,461.16

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Solution

The fourth proportional to 24,165.70, 33,333.32 and 17,461.16 is: 24,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165.70 : 33,333.32 = 17,461.16 : x
  2. Step 2: Convert to fraction form
    24,165.70/33,333.32 = 17,461.16/x
  3. Step 3: Cross multiply
    24,165.70x = 33,333.32 × 17,461.16
  4. Step 4: Simplify right side
    24,165.70x = 582,038,433.85
  5. Step 5: Solve for x
    x = 582,038,433.85/24,165.70
  6. Step 6: Final answer
    x = 24,085.31

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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.