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Finding the Fourth Proportional to 22,518.96, 31,075.56 and 12,309.59

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Solution

The fourth proportional to 22,518.96, 31,075.56 and 12,309.59 is: 16,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.96 : 31,075.56 = 12,309.59 : x
  2. Step 2: Convert to fraction form
    22,518.96/31,075.56 = 12,309.59/x
  3. Step 3: Cross multiply
    22,518.96x = 31,075.56 × 12,309.59
  4. Step 4: Simplify right side
    22,518.96x = 382,527,247.24
  5. Step 5: Solve for x
    x = 382,527,247.24/22,518.96
  6. Step 6: Final answer
    x = 16,986.90

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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.