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Finding the Fourth Proportional to 13,400.46, 20,098.06 and 9,857.52

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Solution

The fourth proportional to 13,400.46, 20,098.06 and 9,857.52 is: 14,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.46 : 20,098.06 = 9,857.52 : x
  2. Step 2: Convert to fraction form
    13,400.46/20,098.06 = 9,857.52/x
  3. Step 3: Cross multiply
    13,400.46x = 20,098.06 × 9,857.52
  4. Step 4: Simplify right side
    13,400.46x = 198,117,028.41
  5. Step 5: Solve for x
    x = 198,117,028.41/13,400.46
  6. Step 6: Final answer
    x = 14,784.35

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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.