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Finding the Fourth Proportional to 19,732.29, 27,230.10 and 10,779.84

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Solution

The fourth proportional to 19,732.29, 27,230.10 and 10,779.84 is: 14,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.29 : 27,230.10 = 10,779.84 : x
  2. Step 2: Convert to fraction form
    19,732.29/27,230.10 = 10,779.84/x
  3. Step 3: Cross multiply
    19,732.29x = 27,230.10 × 10,779.84
  4. Step 4: Simplify right side
    19,732.29x = 293,536,121.18
  5. Step 5: Solve for x
    x = 293,536,121.18/19,732.29
  6. Step 6: Final answer
    x = 14,875.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.