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Finding the Fourth Proportional to 21,384.98, 32,078.26 and 7,354.68

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Solution

The fourth proportional to 21,384.98, 32,078.26 and 7,354.68 is: 11,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.98 : 32,078.26 = 7,354.68 : x
  2. Step 2: Convert to fraction form
    21,384.98/32,078.26 = 7,354.68/x
  3. Step 3: Cross multiply
    21,384.98x = 32,078.26 × 7,354.68
  4. Step 4: Simplify right side
    21,384.98x = 235,925,337.26
  5. Step 5: Solve for x
    x = 235,925,337.26/21,384.98
  6. Step 6: Final answer
    x = 11,032.29

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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.