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Finding the Fourth Proportional to 19,898.94, 29,854.89 and 9,511.50

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Solution

The fourth proportional to 19,898.94, 29,854.89 and 9,511.50 is: 14,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.94 : 29,854.89 = 9,511.50 : x
  2. Step 2: Convert to fraction form
    19,898.94/29,854.89 = 9,511.50/x
  3. Step 3: Cross multiply
    19,898.94x = 29,854.89 × 9,511.50
  4. Step 4: Simplify right side
    19,898.94x = 283,964,786.24
  5. Step 5: Solve for x
    x = 283,964,786.24/19,898.94
  6. Step 6: Final answer
    x = 14,270.35

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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.