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Finding the Fourth Proportional to 14,978.19, 22,469.45 and 4,590.75

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Solution

The fourth proportional to 14,978.19, 22,469.45 and 4,590.75 is: 6,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.19 : 22,469.45 = 4,590.75 : x
  2. Step 2: Convert to fraction form
    14,978.19/22,469.45 = 4,590.75/x
  3. Step 3: Cross multiply
    14,978.19x = 22,469.45 × 4,590.75
  4. Step 4: Simplify right side
    14,978.19x = 103,151,604.63
  5. Step 5: Solve for x
    x = 103,151,604.63/14,978.19
  6. Step 6: Final answer
    x = 6,886.79

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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.