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Finding the Fourth Proportional to 14,583.40, 21,842.70 and 7,649.80

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Solution

The fourth proportional to 14,583.40, 21,842.70 and 7,649.80 is: 11,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.40 : 21,842.70 = 7,649.80 : x
  2. Step 2: Convert to fraction form
    14,583.40/21,842.70 = 7,649.80/x
  3. Step 3: Cross multiply
    14,583.40x = 21,842.70 × 7,649.80
  4. Step 4: Simplify right side
    14,583.40x = 167,092,286.46
  5. Step 5: Solve for x
    x = 167,092,286.46/14,583.40
  6. Step 6: Final answer
    x = 11,457.70

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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.