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Finding the Fourth Proportional to 21,464.31, 29,618.34 and 12,032.67

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Solution

The fourth proportional to 21,464.31, 29,618.34 and 12,032.67 is: 16,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464.31 : 29,618.34 = 12,032.67 : x
  2. Step 2: Convert to fraction form
    21,464.31/29,618.34 = 12,032.67/x
  3. Step 3: Cross multiply
    21,464.31x = 29,618.34 × 12,032.67
  4. Step 4: Simplify right side
    21,464.31x = 356,387,711.17
  5. Step 5: Solve for x
    x = 356,387,711.17/21,464.31
  6. Step 6: Final answer
    x = 16,603.73

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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.