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Finding the Fourth Proportional to 14,853.12, 20,479.68 and 9,548.16

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Solution

The fourth proportional to 14,853.12, 20,479.68 and 9,548.16 is: 13,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.12 : 20,479.68 = 9,548.16 : x
  2. Step 2: Convert to fraction form
    14,853.12/20,479.68 = 9,548.16/x
  3. Step 3: Cross multiply
    14,853.12x = 20,479.68 × 9,548.16
  4. Step 4: Simplify right side
    14,853.12x = 195,543,261.39
  5. Step 5: Solve for x
    x = 195,543,261.39/14,853.12
  6. Step 6: Final answer
    x = 13,165.13

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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.