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Finding the Fourth Proportional to 22,610.57, 31,204.55 and 13,178.93

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Solution

The fourth proportional to 22,610.57, 31,204.55 and 13,178.93 is: 18,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.57 : 31,204.55 = 13,178.93 : x
  2. Step 2: Convert to fraction form
    22,610.57/31,204.55 = 13,178.93/x
  3. Step 3: Cross multiply
    22,610.57x = 31,204.55 × 13,178.93
  4. Step 4: Simplify right side
    22,610.57x = 411,242,457.06
  5. Step 5: Solve for x
    x = 411,242,457.06/22,610.57
  6. Step 6: Final answer
    x = 18,188.07

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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.