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Finding the Fourth Proportional to 17,772.86, 24,526.71 and 9,814.92

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Solution

The fourth proportional to 17,772.86, 24,526.71 and 9,814.92 is: 13,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.86 : 24,526.71 = 9,814.92 : x
  2. Step 2: Convert to fraction form
    17,772.86/24,526.71 = 9,814.92/x
  3. Step 3: Cross multiply
    17,772.86x = 24,526.71 × 9,814.92
  4. Step 4: Simplify right side
    17,772.86x = 240,727,696.51
  5. Step 5: Solve for x
    x = 240,727,696.51/17,772.86
  6. Step 6: Final answer
    x = 13,544.68

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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.