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Finding the Fourth Proportional to 14,277.98, 21,420.16 and 6,888.64

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Solution

The fourth proportional to 14,277.98, 21,420.16 and 6,888.64 is: 10,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.98 : 21,420.16 = 6,888.64 : x
  2. Step 2: Convert to fraction form
    14,277.98/21,420.16 = 6,888.64/x
  3. Step 3: Cross multiply
    14,277.98x = 21,420.16 × 6,888.64
  4. Step 4: Simplify right side
    14,277.98x = 147,555,770.98
  5. Step 5: Solve for x
    x = 147,555,770.98/14,277.98
  6. Step 6: Final answer
    x = 10,334.50

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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.