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Finding the Fourth Proportional to 22,597.85, 31,146.13 and 15,030.66

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Solution

The fourth proportional to 22,597.85, 31,146.13 and 15,030.66 is: 20,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.85 : 31,146.13 = 15,030.66 : x
  2. Step 2: Convert to fraction form
    22,597.85/31,146.13 = 15,030.66/x
  3. Step 3: Cross multiply
    22,597.85x = 31,146.13 × 15,030.66
  4. Step 4: Simplify right side
    22,597.85x = 468,146,941.38
  5. Step 5: Solve for x
    x = 468,146,941.38/22,597.85
  6. Step 6: Final answer
    x = 20,716.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.