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Finding the Fourth Proportional to 16,412.50, 22,641.94 and 9,693.54

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Solution

The fourth proportional to 16,412.50, 22,641.94 and 9,693.54 is: 13,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.50 : 22,641.94 = 9,693.54 : x
  2. Step 2: Convert to fraction form
    16,412.50/22,641.94 = 9,693.54/x
  3. Step 3: Cross multiply
    16,412.50x = 22,641.94 × 9,693.54
  4. Step 4: Simplify right side
    16,412.50x = 219,480,551.07
  5. Step 5: Solve for x
    x = 219,480,551.07/16,412.50
  6. Step 6: Final answer
    x = 13,372.77

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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.