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Finding the Fourth Proportional to 24,948, 34,415.82 and 17,410.14

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Solution

The fourth proportional to 24,948, 34,415.82 and 17,410.14 is: 24,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948 : 34,415.82 = 17,410.14 : x
  2. Step 2: Convert to fraction form
    24,948/34,415.82 = 17,410.14/x
  3. Step 3: Cross multiply
    24,948x = 34,415.82 × 17,410.14
  4. Step 4: Simplify right side
    24,948x = 599,184,244.41
  5. Step 5: Solve for x
    x = 599,184,244.41/24,948
  6. Step 6: Final answer
    x = 24,017.33

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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.