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Finding the Fourth Proportional to 14,353.41, 19,808.16 and 8,689.20

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Solution

The fourth proportional to 14,353.41, 19,808.16 and 8,689.20 is: 11,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.41 : 19,808.16 = 8,689.20 : x
  2. Step 2: Convert to fraction form
    14,353.41/19,808.16 = 8,689.20/x
  3. Step 3: Cross multiply
    14,353.41x = 19,808.16 × 8,689.20
  4. Step 4: Simplify right side
    14,353.41x = 172,117,063.87
  5. Step 5: Solve for x
    x = 172,117,063.87/14,353.41
  6. Step 6: Final answer
    x = 11,991.37

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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.