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Finding the Fourth Proportional to 16,802.70, 25,205.46 and 5,116.02

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Solution

The fourth proportional to 16,802.70, 25,205.46 and 5,116.02 is: 7,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.70 : 25,205.46 = 5,116.02 : x
  2. Step 2: Convert to fraction form
    16,802.70/25,205.46 = 5,116.02/x
  3. Step 3: Cross multiply
    16,802.70x = 25,205.46 × 5,116.02
  4. Step 4: Simplify right side
    16,802.70x = 128,951,637.47
  5. Step 5: Solve for x
    x = 128,951,637.47/16,802.70
  6. Step 6: Final answer
    x = 7,674.46

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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.