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Finding the Fourth Proportional to 24,480, 36,725.76 and 8,064

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Solution

The fourth proportional to 24,480, 36,725.76 and 8,064 is: 12,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480 : 36,725.76 = 8,064 : x
  2. Step 2: Convert to fraction form
    24,480/36,725.76 = 8,064/x
  3. Step 3: Cross multiply
    24,480x = 36,725.76 × 8,064
  4. Step 4: Simplify right side
    24,480x = 296,156,528.64
  5. Step 5: Solve for x
    x = 296,156,528.64/24,480
  6. Step 6: Final answer
    x = 12,097.90

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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.