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Finding the Fourth Proportional to 19,754.30, 29,612.54 and 9,883.64

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Solution

The fourth proportional to 19,754.30, 29,612.54 and 9,883.64 is: 14,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.30 : 29,612.54 = 9,883.64 : x
  2. Step 2: Convert to fraction form
    19,754.30/29,612.54 = 9,883.64/x
  3. Step 3: Cross multiply
    19,754.30x = 29,612.54 × 9,883.64
  4. Step 4: Simplify right side
    19,754.30x = 292,679,684.85
  5. Step 5: Solve for x
    x = 292,679,684.85/19,754.30
  6. Step 6: Final answer
    x = 14,816.00

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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.