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Finding the Fourth Proportional to 14,830.32, 20,473.25 and 8,541.48

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Solution

The fourth proportional to 14,830.32, 20,473.25 and 8,541.48 is: 11,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.32 : 20,473.25 = 8,541.48 : x
  2. Step 2: Convert to fraction form
    14,830.32/20,473.25 = 8,541.48/x
  3. Step 3: Cross multiply
    14,830.32x = 20,473.25 × 8,541.48
  4. Step 4: Simplify right side
    14,830.32x = 174,871,855.41
  5. Step 5: Solve for x
    x = 174,871,855.41/14,830.32
  6. Step 6: Final answer
    x = 11,791.51

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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.