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Finding the Fourth Proportional to 13,810.40, 20,715.60 and 9,663.20

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Solution

The fourth proportional to 13,810.40, 20,715.60 and 9,663.20 is: 14,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.40 : 20,715.60 = 9,663.20 : x
  2. Step 2: Convert to fraction form
    13,810.40/20,715.60 = 9,663.20/x
  3. Step 3: Cross multiply
    13,810.40x = 20,715.60 × 9,663.20
  4. Step 4: Simplify right side
    13,810.40x = 200,178,985.92
  5. Step 5: Solve for x
    x = 200,178,985.92/13,810.40
  6. Step 6: Final answer
    x = 14,494.80

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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.