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Finding the Fourth Proportional to 22,656.59, 31,266.75 and 13,705.73

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Solution

The fourth proportional to 22,656.59, 31,266.75 and 13,705.73 is: 18,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.59 : 31,266.75 = 13,705.73 : x
  2. Step 2: Convert to fraction form
    22,656.59/31,266.75 = 13,705.73/x
  3. Step 3: Cross multiply
    22,656.59x = 31,266.75 × 13,705.73
  4. Step 4: Simplify right side
    22,656.59x = 428,533,477.14
  5. Step 5: Solve for x
    x = 428,533,477.14/22,656.59
  6. Step 6: Final answer
    x = 18,914.30

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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.