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Finding the Fourth Proportional to 14,524.88, 20,024.06 and 9,736.47

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Solution

The fourth proportional to 14,524.88, 20,024.06 and 9,736.47 is: 13,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.88 : 20,024.06 = 9,736.47 : x
  2. Step 2: Convert to fraction form
    14,524.88/20,024.06 = 9,736.47/x
  3. Step 3: Cross multiply
    14,524.88x = 20,024.06 × 9,736.47
  4. Step 4: Simplify right side
    14,524.88x = 194,963,610.79
  5. Step 5: Solve for x
    x = 194,963,610.79/14,524.88
  6. Step 6: Final answer
    x = 13,422.74

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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.