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Finding the Fourth Proportional to 22,929.68, 34,396.36 and 9,782.24

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Solution

The fourth proportional to 22,929.68, 34,396.36 and 9,782.24 is: 14,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929.68 : 34,396.36 = 9,782.24 : x
  2. Step 2: Convert to fraction form
    22,929.68/34,396.36 = 9,782.24/x
  3. Step 3: Cross multiply
    22,929.68x = 34,396.36 × 9,782.24
  4. Step 4: Simplify right side
    22,929.68x = 336,473,448.65
  5. Step 5: Solve for x
    x = 336,473,448.65/22,929.68
  6. Step 6: Final answer
    x = 14,674.14

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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.