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Finding the Fourth Proportional to 21,678.72, 32,504.85 and 9,020.58

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Solution

The fourth proportional to 21,678.72, 32,504.85 and 9,020.58 is: 13,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.72 : 32,504.85 = 9,020.58 : x
  2. Step 2: Convert to fraction form
    21,678.72/32,504.85 = 9,020.58/x
  3. Step 3: Cross multiply
    21,678.72x = 32,504.85 × 9,020.58
  4. Step 4: Simplify right side
    21,678.72x = 293,212,599.81
  5. Step 5: Solve for x
    x = 293,212,599.81/21,678.72
  6. Step 6: Final answer
    x = 13,525.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.