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Finding the Fourth Proportional to 20,474.34, 28,254.70 and 11,521.98

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Solution

The fourth proportional to 20,474.34, 28,254.70 and 11,521.98 is: 15,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.34 : 28,254.70 = 11,521.98 : x
  2. Step 2: Convert to fraction form
    20,474.34/28,254.70 = 11,521.98/x
  3. Step 3: Cross multiply
    20,474.34x = 28,254.70 × 11,521.98
  4. Step 4: Simplify right side
    20,474.34x = 325,550,088.31
  5. Step 5: Solve for x
    x = 325,550,088.31/20,474.34
  6. Step 6: Final answer
    x = 15,900.39

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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.