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Finding the Fourth Proportional to 20,184.08, 30,465.70 and 20,184.08

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Solution

The fourth proportional to 20,184.08, 30,465.70 and 20,184.08 is: 30,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.08 : 30,465.70 = 20,184.08 : x
  2. Step 2: Convert to fraction form
    20,184.08/30,465.70 = 20,184.08/x
  3. Step 3: Cross multiply
    20,184.08x = 30,465.70 × 20,184.08
  4. Step 4: Simplify right side
    20,184.08x = 614,922,126.06
  5. Step 5: Solve for x
    x = 614,922,126.06/20,184.08
  6. Step 6: Final answer
    x = 30,465.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.