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Finding the Fourth Proportional to 14,564, 20,101.08 and 9,264.98

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Solution

The fourth proportional to 14,564, 20,101.08 and 9,264.98 is: 12,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564 : 20,101.08 = 9,264.98 : x
  2. Step 2: Convert to fraction form
    14,564/20,101.08 = 9,264.98/x
  3. Step 3: Cross multiply
    14,564x = 20,101.08 × 9,264.98
  4. Step 4: Simplify right side
    14,564x = 186,236,104.18
  5. Step 5: Solve for x
    x = 186,236,104.18/14,564
  6. Step 6: Final answer
    x = 12,787.43

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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.