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Finding the Fourth Proportional to 14,464.98, 21,697.47 and 5,224.50

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Solution

The fourth proportional to 14,464.98, 21,697.47 and 5,224.50 is: 7,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.98 : 21,697.47 = 5,224.50 : x
  2. Step 2: Convert to fraction form
    14,464.98/21,697.47 = 5,224.50/x
  3. Step 3: Cross multiply
    14,464.98x = 21,697.47 × 5,224.50
  4. Step 4: Simplify right side
    14,464.98x = 113,358,432.02
  5. Step 5: Solve for x
    x = 113,358,432.02/14,464.98
  6. Step 6: Final answer
    x = 7,836.75

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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.