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Finding the Fourth Proportional to 15,770.62, 23,659.73 and 5,909.99

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Solution

The fourth proportional to 15,770.62, 23,659.73 and 5,909.99 is: 8,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.62 : 23,659.73 = 5,909.99 : x
  2. Step 2: Convert to fraction form
    15,770.62/23,659.73 = 5,909.99/x
  3. Step 3: Cross multiply
    15,770.62x = 23,659.73 × 5,909.99
  4. Step 4: Simplify right side
    15,770.62x = 139,828,642.02
  5. Step 5: Solve for x
    x = 139,828,642.02/15,770.62
  6. Step 6: Final answer
    x = 8,866.40

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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.