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Finding the Fourth Proportional to 12,468.54, 18,705.86 and 4,148.54

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Solution

The fourth proportional to 12,468.54, 18,705.86 and 4,148.54 is: 6,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.54 : 18,705.86 = 4,148.54 : x
  2. Step 2: Convert to fraction form
    12,468.54/18,705.86 = 4,148.54/x
  3. Step 3: Cross multiply
    12,468.54x = 18,705.86 × 4,148.54
  4. Step 4: Simplify right side
    12,468.54x = 77,602,008.44
  5. Step 5: Solve for x
    x = 77,602,008.44/12,468.54
  6. Step 6: Final answer
    x = 6,223.82

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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.