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Finding the Fourth Proportional to 28,499.34, 42,744.99 and 9,779.07

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Solution

The fourth proportional to 28,499.34, 42,744.99 and 9,779.07 is: 14,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,499.34 : 42,744.99 = 9,779.07 : x
  2. Step 2: Convert to fraction form
    28,499.34/42,744.99 = 9,779.07/x
  3. Step 3: Cross multiply
    28,499.34x = 42,744.99 × 9,779.07
  4. Step 4: Simplify right side
    28,499.34x = 418,006,249.36
  5. Step 5: Solve for x
    x = 418,006,249.36/28,499.34
  6. Step 6: Final answer
    x = 14,667.23

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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.