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Finding the Fourth Proportional to 14,904, 20,567.56 and 8,280

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Solution

The fourth proportional to 14,904, 20,567.56 and 8,280 is: 11,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 20,567.56 = 8,280 : x
  2. Step 2: Convert to fraction form
    14,904/20,567.56 = 8,280/x
  3. Step 3: Cross multiply
    14,904x = 20,567.56 × 8,280
  4. Step 4: Simplify right side
    14,904x = 170,299,396.80
  5. Step 5: Solve for x
    x = 170,299,396.80/14,904
  6. Step 6: Final answer
    x = 11,426.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.