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Finding the Fourth Proportional to 14,319.96, 19,758.94 and 8,653.20

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Solution

The fourth proportional to 14,319.96, 19,758.94 and 8,653.20 is: 11,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.96 : 19,758.94 = 8,653.20 : x
  2. Step 2: Convert to fraction form
    14,319.96/19,758.94 = 8,653.20/x
  3. Step 3: Cross multiply
    14,319.96x = 19,758.94 × 8,653.20
  4. Step 4: Simplify right side
    14,319.96x = 170,978,059.61
  5. Step 5: Solve for x
    x = 170,978,059.61/14,319.96
  6. Step 6: Final answer
    x = 11,939.84

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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.