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Finding the Fourth Proportional to 14,784.40, 22,182.90 and 7,769.80

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Solution

The fourth proportional to 14,784.40, 22,182.90 and 7,769.80 is: 11,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.40 : 22,182.90 = 7,769.80 : x
  2. Step 2: Convert to fraction form
    14,784.40/22,182.90 = 7,769.80/x
  3. Step 3: Cross multiply
    14,784.40x = 22,182.90 × 7,769.80
  4. Step 4: Simplify right side
    14,784.40x = 172,356,696.42
  5. Step 5: Solve for x
    x = 172,356,696.42/14,784.40
  6. Step 6: Final answer
    x = 11,658.01

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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.