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Finding the Fourth Proportional to 19,754.96, 29,617.06 and 9,889.16

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Solution

The fourth proportional to 19,754.96, 29,617.06 and 9,889.16 is: 14,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.96 : 29,617.06 = 9,889.16 : x
  2. Step 2: Convert to fraction form
    19,754.96/29,617.06 = 9,889.16/x
  3. Step 3: Cross multiply
    19,754.96x = 29,617.06 × 9,889.16
  4. Step 4: Simplify right side
    19,754.96x = 292,887,845.07
  5. Step 5: Solve for x
    x = 292,887,845.07/19,754.96
  6. Step 6: Final answer
    x = 14,826.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.