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Finding the Fourth Proportional to 18,106.98, 24,986.28 and 10,147.66

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Solution

The fourth proportional to 18,106.98, 24,986.28 and 10,147.66 is: 14,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.98 : 24,986.28 = 10,147.66 : x
  2. Step 2: Convert to fraction form
    18,106.98/24,986.28 = 10,147.66/x
  3. Step 3: Cross multiply
    18,106.98x = 24,986.28 × 10,147.66
  4. Step 4: Simplify right side
    18,106.98x = 253,552,274.10
  5. Step 5: Solve for x
    x = 253,552,274.10/18,106.98
  6. Step 6: Final answer
    x = 14,003.01

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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.