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Finding the Fourth Proportional to 14,523.62, 20,048.73 and 9,814.28

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Solution

The fourth proportional to 14,523.62, 20,048.73 and 9,814.28 is: 13,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.62 : 20,048.73 = 9,814.28 : x
  2. Step 2: Convert to fraction form
    14,523.62/20,048.73 = 9,814.28/x
  3. Step 3: Cross multiply
    14,523.62x = 20,048.73 × 9,814.28
  4. Step 4: Simplify right side
    14,523.62x = 196,763,849.86
  5. Step 5: Solve for x
    x = 196,763,849.86/14,523.62
  6. Step 6: Final answer
    x = 13,547.85

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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.