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Finding the Fourth Proportional to 14,868.16, 20,518.44 and 8,407.28

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Solution

The fourth proportional to 14,868.16, 20,518.44 and 8,407.28 is: 11,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868.16 : 20,518.44 = 8,407.28 : x
  2. Step 2: Convert to fraction form
    14,868.16/20,518.44 = 8,407.28/x
  3. Step 3: Cross multiply
    14,868.16x = 20,518.44 × 8,407.28
  4. Step 4: Simplify right side
    14,868.16x = 172,504,270.24
  5. Step 5: Solve for x
    x = 172,504,270.24/14,868.16
  6. Step 6: Final answer
    x = 11,602.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.