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Finding the Fourth Proportional to 28,634.64, 42,941.67 and 9,909.60

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Solution

The fourth proportional to 28,634.64, 42,941.67 and 9,909.60 is: 14,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,634.64 : 42,941.67 = 9,909.60 : x
  2. Step 2: Convert to fraction form
    28,634.64/42,941.67 = 9,909.60/x
  3. Step 3: Cross multiply
    28,634.64x = 42,941.67 × 9,909.60
  4. Step 4: Simplify right side
    28,634.64x = 425,534,558.32
  5. Step 5: Solve for x
    x = 425,534,558.32/28,634.64
  6. Step 6: Final answer
    x = 14,860.83

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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.