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Finding the Fourth Proportional to 14,540.66, 21,822.02 and 10,655.22

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Solution

The fourth proportional to 14,540.66, 21,822.02 and 10,655.22 is: 15,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.66 : 21,822.02 = 10,655.22 : x
  2. Step 2: Convert to fraction form
    14,540.66/21,822.02 = 10,655.22/x
  3. Step 3: Cross multiply
    14,540.66x = 21,822.02 × 10,655.22
  4. Step 4: Simplify right side
    14,540.66x = 232,518,423.94
  5. Step 5: Solve for x
    x = 232,518,423.94/14,540.66
  6. Step 6: Final answer
    x = 15,990.91

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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.