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Finding the Fourth Proportional to 19,809.50, 29,701.49 and 11,032.34

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Solution

The fourth proportional to 19,809.50, 29,701.49 and 11,032.34 is: 16,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.50 : 29,701.49 = 11,032.34 : x
  2. Step 2: Convert to fraction form
    19,809.50/29,701.49 = 11,032.34/x
  3. Step 3: Cross multiply
    19,809.50x = 29,701.49 × 11,032.34
  4. Step 4: Simplify right side
    19,809.50x = 327,676,732.52
  5. Step 5: Solve for x
    x = 327,676,732.52/19,809.50
  6. Step 6: Final answer
    x = 16,541.40

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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.