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Finding the Fourth Proportional to 14,573.27, 20,108.03 and 9,266.15

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Solution

The fourth proportional to 14,573.27, 20,108.03 and 9,266.15 is: 12,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.27 : 20,108.03 = 9,266.15 : x
  2. Step 2: Convert to fraction form
    14,573.27/20,108.03 = 9,266.15/x
  3. Step 3: Cross multiply
    14,573.27x = 20,108.03 × 9,266.15
  4. Step 4: Simplify right side
    14,573.27x = 186,323,875.31
  5. Step 5: Solve for x
    x = 186,323,875.31/14,573.27
  6. Step 6: Final answer
    x = 12,785.32

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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.