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Finding the Fourth Proportional to 14,530.48, 21,751.98 and 13,144.48

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Solution

The fourth proportional to 14,530.48, 21,751.98 and 13,144.48 is: 19,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.48 : 21,751.98 = 13,144.48 : x
  2. Step 2: Convert to fraction form
    14,530.48/21,751.98 = 13,144.48/x
  3. Step 3: Cross multiply
    14,530.48x = 21,751.98 × 13,144.48
  4. Step 4: Simplify right side
    14,530.48x = 285,918,466.07
  5. Step 5: Solve for x
    x = 285,918,466.07/14,530.48
  6. Step 6: Final answer
    x = 19,677.15

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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.