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Finding the Fourth Proportional to 17,798.10, 26,689.05 and 9,475.98

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Solution

The fourth proportional to 17,798.10, 26,689.05 and 9,475.98 is: 14,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798.10 : 26,689.05 = 9,475.98 : x
  2. Step 2: Convert to fraction form
    17,798.10/26,689.05 = 9,475.98/x
  3. Step 3: Cross multiply
    17,798.10x = 26,689.05 × 9,475.98
  4. Step 4: Simplify right side
    17,798.10x = 252,904,904.02
  5. Step 5: Solve for x
    x = 252,904,904.02/17,798.10
  6. Step 6: Final answer
    x = 14,209.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.