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Finding the Fourth Proportional to 19,217.54, 28,823.87 and 6,071.24

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Solution

The fourth proportional to 19,217.54, 28,823.87 and 6,071.24 is: 9,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,217.54 : 28,823.87 = 6,071.24 : x
  2. Step 2: Convert to fraction form
    19,217.54/28,823.87 = 6,071.24/x
  3. Step 3: Cross multiply
    19,217.54x = 28,823.87 × 6,071.24
  4. Step 4: Simplify right side
    19,217.54x = 174,996,632.50
  5. Step 5: Solve for x
    x = 174,996,632.50/19,217.54
  6. Step 6: Final answer
    x = 9,106.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.