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Finding the Fourth Proportional to 22,776.51, 31,431.64 and 12,704.70

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Solution

The fourth proportional to 22,776.51, 31,431.64 and 12,704.70 is: 17,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.51 : 31,431.64 = 12,704.70 : x
  2. Step 2: Convert to fraction form
    22,776.51/31,431.64 = 12,704.70/x
  3. Step 3: Cross multiply
    22,776.51x = 31,431.64 × 12,704.70
  4. Step 4: Simplify right side
    22,776.51x = 399,329,556.71
  5. Step 5: Solve for x
    x = 399,329,556.71/22,776.51
  6. Step 6: Final answer
    x = 17,532.52

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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.