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Finding the Fourth Proportional to 16,783.74, 25,173.99 and 5,097.06

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Solution

The fourth proportional to 16,783.74, 25,173.99 and 5,097.06 is: 7,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.74 : 25,173.99 = 5,097.06 : x
  2. Step 2: Convert to fraction form
    16,783.74/25,173.99 = 5,097.06/x
  3. Step 3: Cross multiply
    16,783.74x = 25,173.99 × 5,097.06
  4. Step 4: Simplify right side
    16,783.74x = 128,313,337.47
  5. Step 5: Solve for x
    x = 128,313,337.47/16,783.74
  6. Step 6: Final answer
    x = 7,645.10

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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.