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Finding the Fourth Proportional to 23,384.68, 35,077.50 and 7,802.44

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Solution

The fourth proportional to 23,384.68, 35,077.50 and 7,802.44 is: 11,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.68 : 35,077.50 = 7,802.44 : x
  2. Step 2: Convert to fraction form
    23,384.68/35,077.50 = 7,802.44/x
  3. Step 3: Cross multiply
    23,384.68x = 35,077.50 × 7,802.44
  4. Step 4: Simplify right side
    23,384.68x = 273,690,089.10
  5. Step 5: Solve for x
    x = 273,690,089.10/23,384.68
  6. Step 6: Final answer
    x = 11,703.82

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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.