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Finding the Fourth Proportional to 14,809.32, 20,434.88 and 9,511.31

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Solution

The fourth proportional to 14,809.32, 20,434.88 and 9,511.31 is: 13,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.32 : 20,434.88 = 9,511.31 : x
  2. Step 2: Convert to fraction form
    14,809.32/20,434.88 = 9,511.31/x
  3. Step 3: Cross multiply
    14,809.32x = 20,434.88 × 9,511.31
  4. Step 4: Simplify right side
    14,809.32x = 194,362,553.36
  5. Step 5: Solve for x
    x = 194,362,553.36/14,809.32
  6. Step 6: Final answer
    x = 13,124.34

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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.