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Finding the Fourth Proportional to 13,457.64, 20,186.58 and 4,692.54

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Solution

The fourth proportional to 13,457.64, 20,186.58 and 4,692.54 is: 7,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.64 : 20,186.58 = 4,692.54 : x
  2. Step 2: Convert to fraction form
    13,457.64/20,186.58 = 4,692.54/x
  3. Step 3: Cross multiply
    13,457.64x = 20,186.58 × 4,692.54
  4. Step 4: Simplify right side
    13,457.64x = 94,726,334.11
  5. Step 5: Solve for x
    x = 94,726,334.11/13,457.64
  6. Step 6: Final answer
    x = 7,038.85

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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.