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Finding the Fourth Proportional to 19,207.92, 28,786.88 and 9,840

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Solution

The fourth proportional to 19,207.92, 28,786.88 and 9,840 is: 14,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.92 : 28,786.88 = 9,840 : x
  2. Step 2: Convert to fraction form
    19,207.92/28,786.88 = 9,840/x
  3. Step 3: Cross multiply
    19,207.92x = 28,786.88 × 9,840
  4. Step 4: Simplify right side
    19,207.92x = 283,262,899.20
  5. Step 5: Solve for x
    x = 283,262,899.20/19,207.92
  6. Step 6: Final answer
    x = 14,747.19

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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.