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Finding the Fourth Proportional to 14,551.20, 21,807.60 and 10,442.40

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Solution

The fourth proportional to 14,551.20, 21,807.60 and 10,442.40 is: 15,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.20 : 21,807.60 = 10,442.40 : x
  2. Step 2: Convert to fraction form
    14,551.20/21,807.60 = 10,442.40/x
  3. Step 3: Cross multiply
    14,551.20x = 21,807.60 × 10,442.40
  4. Step 4: Simplify right side
    14,551.20x = 227,723,682.24
  5. Step 5: Solve for x
    x = 227,723,682.24/14,551.20
  6. Step 6: Final answer
    x = 15,649.82

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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.