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Finding the Fourth Proportional to 26,656.48, 39,981.68 and 9,124

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Solution

The fourth proportional to 26,656.48, 39,981.68 and 9,124 is: 13,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,656.48 : 39,981.68 = 9,124 : x
  2. Step 2: Convert to fraction form
    26,656.48/39,981.68 = 9,124/x
  3. Step 3: Cross multiply
    26,656.48x = 39,981.68 × 9,124
  4. Step 4: Simplify right side
    26,656.48x = 364,792,848.32
  5. Step 5: Solve for x
    x = 364,792,848.32/26,656.48
  6. Step 6: Final answer
    x = 13,684.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.