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Finding the Fourth Proportional to 29,586.65, 44,382.29 and 9,865.22

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Solution

The fourth proportional to 29,586.65, 44,382.29 and 9,865.22 is: 14,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.65 : 44,382.29 = 9,865.22 : x
  2. Step 2: Convert to fraction form
    29,586.65/44,382.29 = 9,865.22/x
  3. Step 3: Cross multiply
    29,586.65x = 44,382.29 × 9,865.22
  4. Step 4: Simplify right side
    29,586.65x = 437,840,783.72
  5. Step 5: Solve for x
    x = 437,840,783.72/29,586.65
  6. Step 6: Final answer
    x = 14,798.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.