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Finding the Fourth Proportional to 16,784.69, 25,178.45 and 5,098.01

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Solution

The fourth proportional to 16,784.69, 25,178.45 and 5,098.01 is: 7,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.69 : 25,178.45 = 5,098.01 : x
  2. Step 2: Convert to fraction form
    16,784.69/25,178.45 = 5,098.01/x
  3. Step 3: Cross multiply
    16,784.69x = 25,178.45 × 5,098.01
  4. Step 4: Simplify right side
    16,784.69x = 128,359,838.50
  5. Step 5: Solve for x
    x = 128,359,838.50/16,784.69
  6. Step 6: Final answer
    x = 7,647.44

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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.