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Finding the Fourth Proportional to 22,597.01, 31,180.25 and 14,207.57

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Solution

The fourth proportional to 22,597.01, 31,180.25 and 14,207.57 is: 19,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.01 : 31,180.25 = 14,207.57 : x
  2. Step 2: Convert to fraction form
    22,597.01/31,180.25 = 14,207.57/x
  3. Step 3: Cross multiply
    22,597.01x = 31,180.25 × 14,207.57
  4. Step 4: Simplify right side
    22,597.01x = 442,995,513.45
  5. Step 5: Solve for x
    x = 442,995,513.45/22,597.01
  6. Step 6: Final answer
    x = 19,604.17

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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.