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Finding the Fourth Proportional to 14,398.92, 19,870.74 and 8,026.04

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Solution

The fourth proportional to 14,398.92, 19,870.74 and 8,026.04 is: 11,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.92 : 19,870.74 = 8,026.04 : x
  2. Step 2: Convert to fraction form
    14,398.92/19,870.74 = 8,026.04/x
  3. Step 3: Cross multiply
    14,398.92x = 19,870.74 × 8,026.04
  4. Step 4: Simplify right side
    14,398.92x = 159,483,354.07
  5. Step 5: Solve for x
    x = 159,483,354.07/14,398.92
  6. Step 6: Final answer
    x = 11,076.06

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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.