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Finding the Fourth Proportional to 14,970.35, 20,659.19 and 8,255.88

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Solution

The fourth proportional to 14,970.35, 20,659.19 and 8,255.88 is: 11,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.35 : 20,659.19 = 8,255.88 : x
  2. Step 2: Convert to fraction form
    14,970.35/20,659.19 = 8,255.88/x
  3. Step 3: Cross multiply
    14,970.35x = 20,659.19 × 8,255.88
  4. Step 4: Simplify right side
    14,970.35x = 170,559,752.26
  5. Step 5: Solve for x
    x = 170,559,752.26/14,970.35
  6. Step 6: Final answer
    x = 11,393.17

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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.