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Finding the Fourth Proportional to 19,775.84, 27,293.70 and 11,277.96

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Solution

The fourth proportional to 19,775.84, 27,293.70 and 11,277.96 is: 15,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.84 : 27,293.70 = 11,277.96 : x
  2. Step 2: Convert to fraction form
    19,775.84/27,293.70 = 11,277.96/x
  3. Step 3: Cross multiply
    19,775.84x = 27,293.70 × 11,277.96
  4. Step 4: Simplify right side
    19,775.84x = 307,817,256.85
  5. Step 5: Solve for x
    x = 307,817,256.85/19,775.84
  6. Step 6: Final answer
    x = 15,565.32

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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.