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Finding the Fourth Proportional to 14,346.98, 21,520.48 and 5,106.50

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Solution

The fourth proportional to 14,346.98, 21,520.48 and 5,106.50 is: 7,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346.98 : 21,520.48 = 5,106.50 : x
  2. Step 2: Convert to fraction form
    14,346.98/21,520.48 = 5,106.50/x
  3. Step 3: Cross multiply
    14,346.98x = 21,520.48 × 5,106.50
  4. Step 4: Simplify right side
    14,346.98x = 109,894,331.12
  5. Step 5: Solve for x
    x = 109,894,331.12/14,346.98
  6. Step 6: Final answer
    x = 7,659.75

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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.