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Finding the Fourth Proportional to 21,417.44, 32,126.16 and 7,377.82

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Solution

The fourth proportional to 21,417.44, 32,126.16 and 7,377.82 is: 11,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417.44 : 32,126.16 = 7,377.82 : x
  2. Step 2: Convert to fraction form
    21,417.44/32,126.16 = 7,377.82/x
  3. Step 3: Cross multiply
    21,417.44x = 32,126.16 × 7,377.82
  4. Step 4: Simplify right side
    21,417.44x = 237,021,025.77
  5. Step 5: Solve for x
    x = 237,021,025.77/21,417.44
  6. Step 6: Final answer
    x = 11,066.73

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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.