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Finding the Fourth Proportional to 24,422.99, 36,637.16 and 7,779.14

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Solution

The fourth proportional to 24,422.99, 36,637.16 and 7,779.14 is: 11,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.99 : 36,637.16 = 7,779.14 : x
  2. Step 2: Convert to fraction form
    24,422.99/36,637.16 = 7,779.14/x
  3. Step 3: Cross multiply
    24,422.99x = 36,637.16 × 7,779.14
  4. Step 4: Simplify right side
    24,422.99x = 285,005,433.10
  5. Step 5: Solve for x
    x = 285,005,433.10/24,422.99
  6. Step 6: Final answer
    x = 11,669.56

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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.