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Finding the Fourth Proportional to 14,048.16, 21,069 and 5,283.96

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Solution

The fourth proportional to 14,048.16, 21,069 and 5,283.96 is: 7,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.16 : 21,069 = 5,283.96 : x
  2. Step 2: Convert to fraction form
    14,048.16/21,069 = 5,283.96/x
  3. Step 3: Cross multiply
    14,048.16x = 21,069 × 5,283.96
  4. Step 4: Simplify right side
    14,048.16x = 111,327,753.24
  5. Step 5: Solve for x
    x = 111,327,753.24/14,048.16
  6. Step 6: Final answer
    x = 7,924.72

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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.