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Finding the Fourth Proportional to 13,140, 18,133.20 and 8,430.66

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Solution

The fourth proportional to 13,140, 18,133.20 and 8,430.66 is: 11,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140 : 18,133.20 = 8,430.66 : x
  2. Step 2: Convert to fraction form
    13,140/18,133.20 = 8,430.66/x
  3. Step 3: Cross multiply
    13,140x = 18,133.20 × 8,430.66
  4. Step 4: Simplify right side
    13,140x = 152,874,843.91
  5. Step 5: Solve for x
    x = 152,874,843.91/13,140
  6. Step 6: Final answer
    x = 11,634.31

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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.