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Finding the Fourth Proportional to 17,788.35, 24,548.36 and 9,722.33

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Solution

The fourth proportional to 17,788.35, 24,548.36 and 9,722.33 is: 13,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.35 : 24,548.36 = 9,722.33 : x
  2. Step 2: Convert to fraction form
    17,788.35/24,548.36 = 9,722.33/x
  3. Step 3: Cross multiply
    17,788.35x = 24,548.36 × 9,722.33
  4. Step 4: Simplify right side
    17,788.35x = 238,667,085.53
  5. Step 5: Solve for x
    x = 238,667,085.53/17,788.35
  6. Step 6: Final answer
    x = 13,417.04

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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.