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Finding the Fourth Proportional to 14,461.60, 21,692.58 and 6,140.56

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Solution

The fourth proportional to 14,461.60, 21,692.58 and 6,140.56 is: 9,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.60 : 21,692.58 = 6,140.56 : x
  2. Step 2: Convert to fraction form
    14,461.60/21,692.58 = 6,140.56/x
  3. Step 3: Cross multiply
    14,461.60x = 21,692.58 × 6,140.56
  4. Step 4: Simplify right side
    14,461.60x = 133,204,589.04
  5. Step 5: Solve for x
    x = 133,204,589.04/14,461.60
  6. Step 6: Final answer
    x = 9,210.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.