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Finding the Fourth Proportional to 14,507.74, 20,009.36 and 9,726.12

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Solution

The fourth proportional to 14,507.74, 20,009.36 and 9,726.12 is: 13,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.74 : 20,009.36 = 9,726.12 : x
  2. Step 2: Convert to fraction form
    14,507.74/20,009.36 = 9,726.12/x
  3. Step 3: Cross multiply
    14,507.74x = 20,009.36 × 9,726.12
  4. Step 4: Simplify right side
    14,507.74x = 194,613,436.48
  5. Step 5: Solve for x
    x = 194,613,436.48/14,507.74
  6. Step 6: Final answer
    x = 13,414.46

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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.