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Finding the Fourth Proportional to 13,376.16, 20,066.40 and 4,140

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Solution

The fourth proportional to 13,376.16, 20,066.40 and 4,140 is: 6,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.16 : 20,066.40 = 4,140 : x
  2. Step 2: Convert to fraction form
    13,376.16/20,066.40 = 4,140/x
  3. Step 3: Cross multiply
    13,376.16x = 20,066.40 × 4,140
  4. Step 4: Simplify right side
    13,376.16x = 83,074,896
  5. Step 5: Solve for x
    x = 83,074,896/13,376.16
  6. Step 6: Final answer
    x = 6,210.67

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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.