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Finding the Fourth Proportional to 15,047.56, 22,612.20 and 8,032.46

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Solution

The fourth proportional to 15,047.56, 22,612.20 and 8,032.46 is: 12,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047.56 : 22,612.20 = 8,032.46 : x
  2. Step 2: Convert to fraction form
    15,047.56/22,612.20 = 8,032.46/x
  3. Step 3: Cross multiply
    15,047.56x = 22,612.20 × 8,032.46
  4. Step 4: Simplify right side
    15,047.56x = 181,631,592.01
  5. Step 5: Solve for x
    x = 181,631,592.01/15,047.56
  6. Step 6: Final answer
    x = 12,070.50

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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.