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Finding the Fourth Proportional to 22,415.01, 30,924.63 and 14,865

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Solution

The fourth proportional to 22,415.01, 30,924.63 and 14,865 is: 20,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.01 : 30,924.63 = 14,865 : x
  2. Step 2: Convert to fraction form
    22,415.01/30,924.63 = 14,865/x
  3. Step 3: Cross multiply
    22,415.01x = 30,924.63 × 14,865
  4. Step 4: Simplify right side
    22,415.01x = 459,694,624.95
  5. Step 5: Solve for x
    x = 459,694,624.95/22,415.01
  6. Step 6: Final answer
    x = 20,508.34

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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.