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Finding the Fourth Proportional to 22,692.16, 31,314.88 and 12,756.16

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Solution

The fourth proportional to 22,692.16, 31,314.88 and 12,756.16 is: 17,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.16 : 31,314.88 = 12,756.16 : x
  2. Step 2: Convert to fraction form
    22,692.16/31,314.88 = 12,756.16/x
  3. Step 3: Cross multiply
    22,692.16x = 31,314.88 × 12,756.16
  4. Step 4: Simplify right side
    22,692.16x = 399,457,619.66
  5. Step 5: Solve for x
    x = 399,457,619.66/22,692.16
  6. Step 6: Final answer
    x = 17,603.33

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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.