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Finding the Fourth Proportional to 15,905.28, 23,852.16 and 7,124.16

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Solution

The fourth proportional to 15,905.28, 23,852.16 and 7,124.16 is: 10,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.28 : 23,852.16 = 7,124.16 : x
  2. Step 2: Convert to fraction form
    15,905.28/23,852.16 = 7,124.16/x
  3. Step 3: Cross multiply
    15,905.28x = 23,852.16 × 7,124.16
  4. Step 4: Simplify right side
    15,905.28x = 169,926,604.19
  5. Step 5: Solve for x
    x = 169,926,604.19/15,905.28
  6. Step 6: Final answer
    x = 10,683.66

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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.