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Finding the Fourth Proportional to 22,771.24, 31,424.16 and 12,699.80

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Solution

The fourth proportional to 22,771.24, 31,424.16 and 12,699.80 is: 17,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.24 : 31,424.16 = 12,699.80 : x
  2. Step 2: Convert to fraction form
    22,771.24/31,424.16 = 12,699.80/x
  3. Step 3: Cross multiply
    22,771.24x = 31,424.16 × 12,699.80
  4. Step 4: Simplify right side
    22,771.24x = 399,080,547.17
  5. Step 5: Solve for x
    x = 399,080,547.17/22,771.24
  6. Step 6: Final answer
    x = 17,525.64

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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.