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Finding the Fourth Proportional to 22,519.81, 31,075.98 and 12,447.65

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Solution

The fourth proportional to 22,519.81, 31,075.98 and 12,447.65 is: 17,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.81 : 31,075.98 = 12,447.65 : x
  2. Step 2: Convert to fraction form
    22,519.81/31,075.98 = 12,447.65/x
  3. Step 3: Cross multiply
    22,519.81x = 31,075.98 × 12,447.65
  4. Step 4: Simplify right side
    22,519.81x = 386,822,875.88
  5. Step 5: Solve for x
    x = 386,822,875.88/22,519.81
  6. Step 6: Final answer
    x = 17,177.01

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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.