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Finding the Fourth Proportional to 13,802.18, 20,684.64 and 9,897.98

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Solution

The fourth proportional to 13,802.18, 20,684.64 and 9,897.98 is: 14,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.18 : 20,684.64 = 9,897.98 : x
  2. Step 2: Convert to fraction form
    13,802.18/20,684.64 = 9,897.98/x
  3. Step 3: Cross multiply
    13,802.18x = 20,684.64 × 9,897.98
  4. Step 4: Simplify right side
    13,802.18x = 204,736,153.03
  5. Step 5: Solve for x
    x = 204,736,153.03/13,802.18
  6. Step 6: Final answer
    x = 14,833.61

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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.