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Finding the Fourth Proportional to 22,826, 31,500.58 and 12,754.88

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Solution

The fourth proportional to 22,826, 31,500.58 and 12,754.88 is: 17,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826 : 31,500.58 = 12,754.88 : x
  2. Step 2: Convert to fraction form
    22,826/31,500.58 = 12,754.88/x
  3. Step 3: Cross multiply
    22,826x = 31,500.58 × 12,754.88
  4. Step 4: Simplify right side
    22,826x = 401,786,117.83
  5. Step 5: Solve for x
    x = 401,786,117.83/22,826
  6. Step 6: Final answer
    x = 17,602.13

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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.