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Finding the Fourth Proportional to 10,699.17, 15,975.66 and 9,581.37

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Solution

The fourth proportional to 10,699.17, 15,975.66 and 9,581.37 is: 14,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.17 : 15,975.66 = 9,581.37 : x
  2. Step 2: Convert to fraction form
    10,699.17/15,975.66 = 9,581.37/x
  3. Step 3: Cross multiply
    10,699.17x = 15,975.66 × 9,581.37
  4. Step 4: Simplify right side
    10,699.17x = 153,068,709.45
  5. Step 5: Solve for x
    x = 153,068,709.45/10,699.17
  6. Step 6: Final answer
    x = 14,306.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.