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Finding the Fourth Proportional to 19,784.57, 29,676.15 and 9,250.74

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Solution

The fourth proportional to 19,784.57, 29,676.15 and 9,250.74 is: 13,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.57 : 29,676.15 = 9,250.74 : x
  2. Step 2: Convert to fraction form
    19,784.57/29,676.15 = 9,250.74/x
  3. Step 3: Cross multiply
    19,784.57x = 29,676.15 × 9,250.74
  4. Step 4: Simplify right side
    19,784.57x = 274,526,347.85
  5. Step 5: Solve for x
    x = 274,526,347.85/19,784.57
  6. Step 6: Final answer
    x = 13,875.78

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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.