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Finding the Fourth Proportional to 22,582, 31,163.10 and 12,510.46

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Solution

The fourth proportional to 22,582, 31,163.10 and 12,510.46 is: 17,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582 : 31,163.10 = 12,510.46 : x
  2. Step 2: Convert to fraction form
    22,582/31,163.10 = 12,510.46/x
  3. Step 3: Cross multiply
    22,582x = 31,163.10 × 12,510.46
  4. Step 4: Simplify right side
    22,582x = 389,864,716.03
  5. Step 5: Solve for x
    x = 389,864,716.03/22,582
  6. Step 6: Final answer
    x = 17,264.40

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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.