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Finding the Fourth Proportional to 20,587.50, 28,410.80 and 11,156.06

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Solution

The fourth proportional to 20,587.50, 28,410.80 and 11,156.06 is: 15,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.50 : 28,410.80 = 11,156.06 : x
  2. Step 2: Convert to fraction form
    20,587.50/28,410.80 = 11,156.06/x
  3. Step 3: Cross multiply
    20,587.50x = 28,410.80 × 11,156.06
  4. Step 4: Simplify right side
    20,587.50x = 316,952,589.45
  5. Step 5: Solve for x
    x = 316,952,589.45/20,587.50
  6. Step 6: Final answer
    x = 15,395.39

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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.