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Finding the Fourth Proportional to 11,570.00, 17,347.70 and 9,815.61

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Solution

The fourth proportional to 11,570.00, 17,347.70 and 9,815.61 is: 14,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.00 : 17,347.70 = 9,815.61 : x
  2. Step 2: Convert to fraction form
    11,570.00/17,347.70 = 9,815.61/x
  3. Step 3: Cross multiply
    11,570.00x = 17,347.70 × 9,815.61
  4. Step 4: Simplify right side
    11,570.00x = 170,278,347.19
  5. Step 5: Solve for x
    x = 170,278,347.19/11,570.00
  6. Step 6: Final answer
    x = 14,717.24

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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.