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Finding the Fourth Proportional to 17,228.72, 23,774.28 and 9,776.72

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Solution

The fourth proportional to 17,228.72, 23,774.28 and 9,776.72 is: 13,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228.72 : 23,774.28 = 9,776.72 : x
  2. Step 2: Convert to fraction form
    17,228.72/23,774.28 = 9,776.72/x
  3. Step 3: Cross multiply
    17,228.72x = 23,774.28 × 9,776.72
  4. Step 4: Simplify right side
    17,228.72x = 232,434,478.76
  5. Step 5: Solve for x
    x = 232,434,478.76/17,228.72
  6. Step 6: Final answer
    x = 13,491.11

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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.