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Finding the Fourth Proportional to 19,692.96, 29,518.08 and 9,704.64

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Solution

The fourth proportional to 19,692.96, 29,518.08 and 9,704.64 is: 14,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.96 : 29,518.08 = 9,704.64 : x
  2. Step 2: Convert to fraction form
    19,692.96/29,518.08 = 9,704.64/x
  3. Step 3: Cross multiply
    19,692.96x = 29,518.08 × 9,704.64
  4. Step 4: Simplify right side
    19,692.96x = 286,462,339.89
  5. Step 5: Solve for x
    x = 286,462,339.89/19,692.96
  6. Step 6: Final answer
    x = 14,546.43

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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.