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Finding the Fourth Proportional to 14,978.46, 22,467.69 and 4,588.86

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Solution

The fourth proportional to 14,978.46, 22,467.69 and 4,588.86 is: 6,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.46 : 22,467.69 = 4,588.86 : x
  2. Step 2: Convert to fraction form
    14,978.46/22,467.69 = 4,588.86/x
  3. Step 3: Cross multiply
    14,978.46x = 22,467.69 × 4,588.86
  4. Step 4: Simplify right side
    14,978.46x = 103,101,083.93
  5. Step 5: Solve for x
    x = 103,101,083.93/14,978.46
  6. Step 6: Final answer
    x = 6,883.29

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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.