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Finding the Fourth Proportional to 10,524.42, 15,709.14 and 9,647.76

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Solution

The fourth proportional to 10,524.42, 15,709.14 and 9,647.76 is: 14,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.42 : 15,709.14 = 9,647.76 : x
  2. Step 2: Convert to fraction form
    10,524.42/15,709.14 = 9,647.76/x
  3. Step 3: Cross multiply
    10,524.42x = 15,709.14 × 9,647.76
  4. Step 4: Simplify right side
    10,524.42x = 151,558,012.53
  5. Step 5: Solve for x
    x = 151,558,012.53/10,524.42
  6. Step 6: Final answer
    x = 14,400.60

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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.