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Finding the Fourth Proportional to 13,802.40, 20,703.60 and 9,647.10

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Solution

The fourth proportional to 13,802.40, 20,703.60 and 9,647.10 is: 14,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.40 : 20,703.60 = 9,647.10 : x
  2. Step 2: Convert to fraction form
    13,802.40/20,703.60 = 9,647.10/x
  3. Step 3: Cross multiply
    13,802.40x = 20,703.60 × 9,647.10
  4. Step 4: Simplify right side
    13,802.40x = 199,729,699.56
  5. Step 5: Solve for x
    x = 199,729,699.56/13,802.40
  6. Step 6: Final answer
    x = 14,470.65

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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.