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Finding the Fourth Proportional to 14,549.24, 20,071.86 and 8,957

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Solution

The fourth proportional to 14,549.24, 20,071.86 and 8,957 is: 12,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.24 : 20,071.86 = 8,957 : x
  2. Step 2: Convert to fraction form
    14,549.24/20,071.86 = 8,957/x
  3. Step 3: Cross multiply
    14,549.24x = 20,071.86 × 8,957
  4. Step 4: Simplify right side
    14,549.24x = 179,783,650.02
  5. Step 5: Solve for x
    x = 179,783,650.02/14,549.24
  6. Step 6: Final answer
    x = 12,356.91

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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.