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Finding the Fourth Proportional to 17,442.75, 24,069.99 and 9,484.92

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Solution

The fourth proportional to 17,442.75, 24,069.99 and 9,484.92 is: 13,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.75 : 24,069.99 = 9,484.92 : x
  2. Step 2: Convert to fraction form
    17,442.75/24,069.99 = 9,484.92/x
  3. Step 3: Cross multiply
    17,442.75x = 24,069.99 × 9,484.92
  4. Step 4: Simplify right side
    17,442.75x = 228,301,929.55
  5. Step 5: Solve for x
    x = 228,301,929.55/17,442.75
  6. Step 6: Final answer
    x = 13,088.64

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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.