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Finding the Fourth Proportional to 22,861.98, 31,550.43 and 13,430.46

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Solution

The fourth proportional to 22,861.98, 31,550.43 and 13,430.46 is: 18,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.98 : 31,550.43 = 13,430.46 : x
  2. Step 2: Convert to fraction form
    22,861.98/31,550.43 = 13,430.46/x
  3. Step 3: Cross multiply
    22,861.98x = 31,550.43 × 13,430.46
  4. Step 4: Simplify right side
    22,861.98x = 423,736,788.10
  5. Step 5: Solve for x
    x = 423,736,788.10/22,861.98
  6. Step 6: Final answer
    x = 18,534.56

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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.