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Finding the Fourth Proportional to 19,748, 29,623.08 and 5,898.08

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Solution

The fourth proportional to 19,748, 29,623.08 and 5,898.08 is: 8,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748 : 29,623.08 = 5,898.08 : x
  2. Step 2: Convert to fraction form
    19,748/29,623.08 = 5,898.08/x
  3. Step 3: Cross multiply
    19,748x = 29,623.08 × 5,898.08
  4. Step 4: Simplify right side
    19,748x = 174,719,295.69
  5. Step 5: Solve for x
    x = 174,719,295.69/19,748
  6. Step 6: Final answer
    x = 8,847.44

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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.