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Finding the Fourth Proportional to 28,001.20, 38,643.44 and 15,426

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Solution

The fourth proportional to 28,001.20, 38,643.44 and 15,426 is: 21,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,001.20 : 38,643.44 = 15,426 : x
  2. Step 2: Convert to fraction form
    28,001.20/38,643.44 = 15,426/x
  3. Step 3: Cross multiply
    28,001.20x = 38,643.44 × 15,426
  4. Step 4: Simplify right side
    28,001.20x = 596,113,705.44
  5. Step 5: Solve for x
    x = 596,113,705.44/28,001.20
  6. Step 6: Final answer
    x = 21,288.86

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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.