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Finding the Fourth Proportional to 14,842.60, 22,256.70 and 8,261.80

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Solution

The fourth proportional to 14,842.60, 22,256.70 and 8,261.80 is: 12,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.60 : 22,256.70 = 8,261.80 : x
  2. Step 2: Convert to fraction form
    14,842.60/22,256.70 = 8,261.80/x
  3. Step 3: Cross multiply
    14,842.60x = 22,256.70 × 8,261.80
  4. Step 4: Simplify right side
    14,842.60x = 183,880,404.06
  5. Step 5: Solve for x
    x = 183,880,404.06/14,842.60
  6. Step 6: Final answer
    x = 12,388.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.