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Finding the Fourth Proportional to 14,507.71, 20,029.38 and 9,480.35

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Solution

The fourth proportional to 14,507.71, 20,029.38 and 9,480.35 is: 13,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.71 : 20,029.38 = 9,480.35 : x
  2. Step 2: Convert to fraction form
    14,507.71/20,029.38 = 9,480.35/x
  3. Step 3: Cross multiply
    14,507.71x = 20,029.38 × 9,480.35
  4. Step 4: Simplify right side
    14,507.71x = 189,885,508.62
  5. Step 5: Solve for x
    x = 189,885,508.62/14,507.71
  6. Step 6: Final answer
    x = 13,088.59

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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.