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Finding the Fourth Proportional to 12,700.44, 19,047.78 and 4,492.44

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Solution

The fourth proportional to 12,700.44, 19,047.78 and 4,492.44 is: 6,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.44 : 19,047.78 = 4,492.44 : x
  2. Step 2: Convert to fraction form
    12,700.44/19,047.78 = 4,492.44/x
  3. Step 3: Cross multiply
    12,700.44x = 19,047.78 × 4,492.44
  4. Step 4: Simplify right side
    12,700.44x = 85,571,008.78
  5. Step 5: Solve for x
    x = 85,571,008.78/12,700.44
  6. Step 6: Final answer
    x = 6,737.64

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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.