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Finding the Fourth Proportional to 13,544.16, 20,280.64 and 10,897.60

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Solution

The fourth proportional to 13,544.16, 20,280.64 and 10,897.60 is: 16,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.16 : 20,280.64 = 10,897.60 : x
  2. Step 2: Convert to fraction form
    13,544.16/20,280.64 = 10,897.60/x
  3. Step 3: Cross multiply
    13,544.16x = 20,280.64 × 10,897.60
  4. Step 4: Simplify right side
    13,544.16x = 221,010,302.46
  5. Step 5: Solve for x
    x = 221,010,302.46/13,544.16
  6. Step 6: Final answer
    x = 16,317.76

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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.