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Finding the Fourth Proportional to 22,904.58, 34,345.29 and 8,111.40

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Solution

The fourth proportional to 22,904.58, 34,345.29 and 8,111.40 is: 12,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.58 : 34,345.29 = 8,111.40 : x
  2. Step 2: Convert to fraction form
    22,904.58/34,345.29 = 8,111.40/x
  3. Step 3: Cross multiply
    22,904.58x = 34,345.29 × 8,111.40
  4. Step 4: Simplify right side
    22,904.58x = 278,588,385.31
  5. Step 5: Solve for x
    x = 278,588,385.31/22,904.58
  6. Step 6: Final answer
    x = 12,163.00

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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.