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Finding the Fourth Proportional to 17,906.78, 24,712.04 and 9,840.77

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Solution

The fourth proportional to 17,906.78, 24,712.04 and 9,840.77 is: 13,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.78 : 24,712.04 = 9,840.77 : x
  2. Step 2: Convert to fraction form
    17,906.78/24,712.04 = 9,840.77/x
  3. Step 3: Cross multiply
    17,906.78x = 24,712.04 × 9,840.77
  4. Step 4: Simplify right side
    17,906.78x = 243,185,501.87
  5. Step 5: Solve for x
    x = 243,185,501.87/17,906.78
  6. Step 6: Final answer
    x = 13,580.64

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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.