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Finding the Fourth Proportional to 24,919.65, 37,384.94 and 7,389.02

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Solution

The fourth proportional to 24,919.65, 37,384.94 and 7,389.02 is: 11,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919.65 : 37,384.94 = 7,389.02 : x
  2. Step 2: Convert to fraction form
    24,919.65/37,384.94 = 7,389.02/x
  3. Step 3: Cross multiply
    24,919.65x = 37,384.94 × 7,389.02
  4. Step 4: Simplify right side
    24,919.65x = 276,238,181.29
  5. Step 5: Solve for x
    x = 276,238,181.29/24,919.65
  6. Step 6: Final answer
    x = 11,085.15

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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.