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Finding the Fourth Proportional to 17,404.16, 24,011.91 and 9,849.69

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Solution

The fourth proportional to 17,404.16, 24,011.91 and 9,849.69 is: 13,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.16 : 24,011.91 = 9,849.69 : x
  2. Step 2: Convert to fraction form
    17,404.16/24,011.91 = 9,849.69/x
  3. Step 3: Cross multiply
    17,404.16x = 24,011.91 × 9,849.69
  4. Step 4: Simplify right side
    17,404.16x = 236,509,869.81
  5. Step 5: Solve for x
    x = 236,509,869.81/17,404.16
  6. Step 6: Final answer
    x = 13,589.28

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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.