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Finding the Fourth Proportional to 10,501.23, 15,751.86 and 9,859.71

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Solution

The fourth proportional to 10,501.23, 15,751.86 and 9,859.71 is: 14,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.23 : 15,751.86 = 9,859.71 : x
  2. Step 2: Convert to fraction form
    10,501.23/15,751.86 = 9,859.71/x
  3. Step 3: Cross multiply
    10,501.23x = 15,751.86 × 9,859.71
  4. Step 4: Simplify right side
    10,501.23x = 155,308,771.56
  5. Step 5: Solve for x
    x = 155,308,771.56/10,501.23
  6. Step 6: Final answer
    x = 14,789.58

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