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Finding the Fourth Proportional to 15,006.42, 22,509.63 and 9,816.66

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Solution

The fourth proportional to 15,006.42, 22,509.63 and 9,816.66 is: 14,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.42 : 22,509.63 = 9,816.66 : x
  2. Step 2: Convert to fraction form
    15,006.42/22,509.63 = 9,816.66/x
  3. Step 3: Cross multiply
    15,006.42x = 22,509.63 × 9,816.66
  4. Step 4: Simplify right side
    15,006.42x = 220,969,384.44
  5. Step 5: Solve for x
    x = 220,969,384.44/15,006.42
  6. Step 6: Final answer
    x = 14,724.99

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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.