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Finding the Fourth Proportional to 16,417.69, 22,657.32 and 9,707.24

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Solution

The fourth proportional to 16,417.69, 22,657.32 and 9,707.24 is: 13,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.69 : 22,657.32 = 9,707.24 : x
  2. Step 2: Convert to fraction form
    16,417.69/22,657.32 = 9,707.24/x
  3. Step 3: Cross multiply
    16,417.69x = 22,657.32 × 9,707.24
  4. Step 4: Simplify right side
    16,417.69x = 219,940,099.64
  5. Step 5: Solve for x
    x = 219,940,099.64/16,417.69
  6. Step 6: Final answer
    x = 13,396.53

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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.