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Finding the Fourth Proportional to 18,104.94, 24,985.32 and 10,147.02

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Solution

The fourth proportional to 18,104.94, 24,985.32 and 10,147.02 is: 14,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,104.94 : 24,985.32 = 10,147.02 : x
  2. Step 2: Convert to fraction form
    18,104.94/24,985.32 = 10,147.02/x
  3. Step 3: Cross multiply
    18,104.94x = 24,985.32 × 10,147.02
  4. Step 4: Simplify right side
    18,104.94x = 253,526,541.75
  5. Step 5: Solve for x
    x = 253,526,541.75/18,104.94
  6. Step 6: Final answer
    x = 14,003.17

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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.