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Finding the Fourth Proportional to 20,598.80, 28,426.56 and 11,646.40

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Solution

The fourth proportional to 20,598.80, 28,426.56 and 11,646.40 is: 16,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.80 : 28,426.56 = 11,646.40 : x
  2. Step 2: Convert to fraction form
    20,598.80/28,426.56 = 11,646.40/x
  3. Step 3: Cross multiply
    20,598.80x = 28,426.56 × 11,646.40
  4. Step 4: Simplify right side
    20,598.80x = 331,067,088.38
  5. Step 5: Solve for x
    x = 331,067,088.38/20,598.80
  6. Step 6: Final answer
    x = 16,072.15

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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.