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Finding the Fourth Proportional to 14,510.25, 20,026.04 and 8,542.47

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Solution

The fourth proportional to 14,510.25, 20,026.04 and 8,542.47 is: 11,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.25 : 20,026.04 = 8,542.47 : x
  2. Step 2: Convert to fraction form
    14,510.25/20,026.04 = 8,542.47/x
  3. Step 3: Cross multiply
    14,510.25x = 20,026.04 × 8,542.47
  4. Step 4: Simplify right side
    14,510.25x = 171,071,803.21
  5. Step 5: Solve for x
    x = 171,071,803.21/14,510.25
  6. Step 6: Final answer
    x = 11,789.72

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1.5x scale

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.