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Finding the Fourth Proportional to 10,688.69, 14,754.50 and 9,567.65

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Solution

The fourth proportional to 10,688.69, 14,754.50 and 9,567.65 is: 13,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.69 : 14,754.50 = 9,567.65 : x
  2. Step 2: Convert to fraction form
    10,688.69/14,754.50 = 9,567.65/x
  3. Step 3: Cross multiply
    10,688.69x = 14,754.50 × 9,567.65
  4. Step 4: Simplify right side
    10,688.69x = 141,165,891.93
  5. Step 5: Solve for x
    x = 141,165,891.93/10,688.69
  6. Step 6: Final answer
    x = 13,207.03

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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.