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Finding the Fourth Proportional to 22,965.40, 34,457.70 and 7,387.80

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Solution

The fourth proportional to 22,965.40, 34,457.70 and 7,387.80 is: 11,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.40 : 34,457.70 = 7,387.80 : x
  2. Step 2: Convert to fraction form
    22,965.40/34,457.70 = 7,387.80/x
  3. Step 3: Cross multiply
    22,965.40x = 34,457.70 × 7,387.80
  4. Step 4: Simplify right side
    22,965.40x = 254,566,596.06
  5. Step 5: Solve for x
    x = 254,566,596.06/22,965.40
  6. Step 6: Final answer
    x = 11,084.79

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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.