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Finding the Fourth Proportional to 22,783.50, 31,442.45 and 13,355.10

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Solution

The fourth proportional to 22,783.50, 31,442.45 and 13,355.10 is: 18,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.50 : 31,442.45 = 13,355.10 : x
  2. Step 2: Convert to fraction form
    22,783.50/31,442.45 = 13,355.10/x
  3. Step 3: Cross multiply
    22,783.50x = 31,442.45 × 13,355.10
  4. Step 4: Simplify right side
    22,783.50x = 419,916,997.22
  5. Step 5: Solve for x
    x = 419,916,997.22/22,783.50
  6. Step 6: Final answer
    x = 18,430.75

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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.