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Finding the Fourth Proportional to 19,489.17, 29,228.89 and 7,645.35

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Solution

The fourth proportional to 19,489.17, 29,228.89 and 7,645.35 is: 11,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.17 : 29,228.89 = 7,645.35 : x
  2. Step 2: Convert to fraction form
    19,489.17/29,228.89 = 7,645.35/x
  3. Step 3: Cross multiply
    19,489.17x = 29,228.89 × 7,645.35
  4. Step 4: Simplify right side
    19,489.17x = 223,465,094.16
  5. Step 5: Solve for x
    x = 223,465,094.16/19,489.17
  6. Step 6: Final answer
    x = 11,466.12

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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.