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Finding the Fourth Proportional to 22,461.82, 30,999.40 and 12,903.04

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Solution

The fourth proportional to 22,461.82, 30,999.40 and 12,903.04 is: 17,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.82 : 30,999.40 = 12,903.04 : x
  2. Step 2: Convert to fraction form
    22,461.82/30,999.40 = 12,903.04/x
  3. Step 3: Cross multiply
    22,461.82x = 30,999.40 × 12,903.04
  4. Step 4: Simplify right side
    22,461.82x = 399,986,498.18
  5. Step 5: Solve for x
    x = 399,986,498.18/22,461.82
  6. Step 6: Final answer
    x = 17,807.39

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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.