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Finding the Fourth Proportional to 19,820.72, 29,709.54 and 9,284.18

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Solution

The fourth proportional to 19,820.72, 29,709.54 and 9,284.18 is: 13,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.72 : 29,709.54 = 9,284.18 : x
  2. Step 2: Convert to fraction form
    19,820.72/29,709.54 = 9,284.18/x
  3. Step 3: Cross multiply
    19,820.72x = 29,709.54 × 9,284.18
  4. Step 4: Simplify right side
    19,820.72x = 275,828,568.53
  5. Step 5: Solve for x
    x = 275,828,568.53/19,820.72
  6. Step 6: Final answer
    x = 13,916.17

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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.