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Finding the Fourth Proportional to 15,164, 22,737.68 and 8,152.32

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Solution

The fourth proportional to 15,164, 22,737.68 and 8,152.32 is: 12,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164 : 22,737.68 = 8,152.32 : x
  2. Step 2: Convert to fraction form
    15,164/22,737.68 = 8,152.32/x
  3. Step 3: Cross multiply
    15,164x = 22,737.68 × 8,152.32
  4. Step 4: Simplify right side
    15,164x = 185,364,843.42
  5. Step 5: Solve for x
    x = 185,364,843.42/15,164
  6. Step 6: Final answer
    x = 12,224.01

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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.