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Finding the Fourth Proportional to 22,534.81, 31,097.98 and 12,971.21

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Solution

The fourth proportional to 22,534.81, 31,097.98 and 12,971.21 is: 17,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.81 : 31,097.98 = 12,971.21 : x
  2. Step 2: Convert to fraction form
    22,534.81/31,097.98 = 12,971.21/x
  3. Step 3: Cross multiply
    22,534.81x = 31,097.98 × 12,971.21
  4. Step 4: Simplify right side
    22,534.81x = 403,378,208.81
  5. Step 5: Solve for x
    x = 403,378,208.81/22,534.81
  6. Step 6: Final answer
    x = 17,900.23

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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.