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Finding the Fourth Proportional to 22,607.51, 31,198.20 and 12,535.95

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Solution

The fourth proportional to 22,607.51, 31,198.20 and 12,535.95 is: 17,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.51 : 31,198.20 = 12,535.95 : x
  2. Step 2: Convert to fraction form
    22,607.51/31,198.20 = 12,535.95/x
  3. Step 3: Cross multiply
    22,607.51x = 31,198.20 × 12,535.95
  4. Step 4: Simplify right side
    22,607.51x = 391,099,075.29
  5. Step 5: Solve for x
    x = 391,099,075.29/22,607.51
  6. Step 6: Final answer
    x = 17,299.52

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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.