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Finding the Fourth Proportional to 14,398.50, 19,869.98 and 8,111.01

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Solution

The fourth proportional to 14,398.50, 19,869.98 and 8,111.01 is: 11,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.50 : 19,869.98 = 8,111.01 : x
  2. Step 2: Convert to fraction form
    14,398.50/19,869.98 = 8,111.01/x
  3. Step 3: Cross multiply
    14,398.50x = 19,869.98 × 8,111.01
  4. Step 4: Simplify right side
    14,398.50x = 161,165,565.92
  5. Step 5: Solve for x
    x = 161,165,565.92/14,398.50
  6. Step 6: Final answer
    x = 11,193.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.