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Finding the Fourth Proportional to 24,307.16, 33,541.98 and 13,696.16

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Solution

The fourth proportional to 24,307.16, 33,541.98 and 13,696.16 is: 18,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.16 : 33,541.98 = 13,696.16 : x
  2. Step 2: Convert to fraction form
    24,307.16/33,541.98 = 13,696.16/x
  3. Step 3: Cross multiply
    24,307.16x = 33,541.98 × 13,696.16
  4. Step 4: Simplify right side
    24,307.16x = 459,396,324.80
  5. Step 5: Solve for x
    x = 459,396,324.80/24,307.16
  6. Step 6: Final answer
    x = 18,899.63

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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.