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Finding the Fourth Proportional to 14,523.12, 20,048.04 and 9,813.78

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Solution

The fourth proportional to 14,523.12, 20,048.04 and 9,813.78 is: 13,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.12 : 20,048.04 = 9,813.78 : x
  2. Step 2: Convert to fraction form
    14,523.12/20,048.04 = 9,813.78/x
  3. Step 3: Cross multiply
    14,523.12x = 20,048.04 × 9,813.78
  4. Step 4: Simplify right side
    14,523.12x = 196,747,053.99
  5. Step 5: Solve for x
    x = 196,747,053.99/14,523.12
  6. Step 6: Final answer
    x = 13,547.16

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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.