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Finding the Fourth Proportional to 21,825, 30,117.08 and 12,870.45

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Solution

The fourth proportional to 21,825, 30,117.08 and 12,870.45 is: 17,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825 : 30,117.08 = 12,870.45 : x
  2. Step 2: Convert to fraction form
    21,825/30,117.08 = 12,870.45/x
  3. Step 3: Cross multiply
    21,825x = 30,117.08 × 12,870.45
  4. Step 4: Simplify right side
    21,825x = 387,620,404.46
  5. Step 5: Solve for x
    x = 387,620,404.46/21,825
  6. Step 6: Final answer
    x = 17,760.39

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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.