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Finding the Fourth Proportional to 23,648.16, 35,484.66 and 10,509.96

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Solution

The fourth proportional to 23,648.16, 35,484.66 and 10,509.96 is: 15,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.16 : 35,484.66 = 10,509.96 : x
  2. Step 2: Convert to fraction form
    23,648.16/35,484.66 = 10,509.96/x
  3. Step 3: Cross multiply
    23,648.16x = 35,484.66 × 10,509.96
  4. Step 4: Simplify right side
    23,648.16x = 372,942,357.21
  5. Step 5: Solve for x
    x = 372,942,357.21/23,648.16
  6. Step 6: Final answer
    x = 15,770.46

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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.