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Finding the Fourth Proportional to 14,909.58, 20,577.16 and 9,619.78

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Solution

The fourth proportional to 14,909.58, 20,577.16 and 9,619.78 is: 13,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.58 : 20,577.16 = 9,619.78 : x
  2. Step 2: Convert to fraction form
    14,909.58/20,577.16 = 9,619.78/x
  3. Step 3: Cross multiply
    14,909.58x = 20,577.16 × 9,619.78
  4. Step 4: Simplify right side
    14,909.58x = 197,947,752.22
  5. Step 5: Solve for x
    x = 197,947,752.22/14,909.58
  6. Step 6: Final answer
    x = 13,276.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.