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Finding the Fourth Proportional to 14,331.60, 21,496 and 4,465.48

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Solution

The fourth proportional to 14,331.60, 21,496 and 4,465.48 is: 6,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.60 : 21,496 = 4,465.48 : x
  2. Step 2: Convert to fraction form
    14,331.60/21,496 = 4,465.48/x
  3. Step 3: Cross multiply
    14,331.60x = 21,496 × 4,465.48
  4. Step 4: Simplify right side
    14,331.60x = 95,989,958.08
  5. Step 5: Solve for x
    x = 95,989,958.08/14,331.60
  6. Step 6: Final answer
    x = 6,697.78

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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.