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Finding the Fourth Proportional to 22,692.32, 31,315.68 and 12,756.32

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Solution

The fourth proportional to 22,692.32, 31,315.68 and 12,756.32 is: 17,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.32 : 31,315.68 = 12,756.32 : x
  2. Step 2: Convert to fraction form
    22,692.32/31,315.68 = 12,756.32/x
  3. Step 3: Cross multiply
    22,692.32x = 31,315.68 × 12,756.32
  4. Step 4: Simplify right side
    22,692.32x = 399,472,835.10
  5. Step 5: Solve for x
    x = 399,472,835.10/22,692.32
  6. Step 6: Final answer
    x = 17,603.88

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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.