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Finding the Fourth Proportional to 22,849.71, 31,536.17 and 13,900.02

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Solution

The fourth proportional to 22,849.71, 31,536.17 and 13,900.02 is: 19,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,849.71 : 31,536.17 = 13,900.02 : x
  2. Step 2: Convert to fraction form
    22,849.71/31,536.17 = 13,900.02/x
  3. Step 3: Cross multiply
    22,849.71x = 31,536.17 × 13,900.02
  4. Step 4: Simplify right side
    22,849.71x = 438,353,324.22
  5. Step 5: Solve for x
    x = 438,353,324.22/22,849.71
  6. Step 6: Final answer
    x = 19,184.20

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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.