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Finding the Fourth Proportional to 19,705.69, 29,554.84 and 8,463.01

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Solution

The fourth proportional to 19,705.69, 29,554.84 and 8,463.01 is: 12,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.69 : 29,554.84 = 8,463.01 : x
  2. Step 2: Convert to fraction form
    19,705.69/29,554.84 = 8,463.01/x
  3. Step 3: Cross multiply
    19,705.69x = 29,554.84 × 8,463.01
  4. Step 4: Simplify right side
    19,705.69x = 250,122,779.75
  5. Step 5: Solve for x
    x = 250,122,779.75/19,705.69
  6. Step 6: Final answer
    x = 12,692.92

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