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Finding the Fourth Proportional to 22,495.99, 31,044.63 and 12,424.15

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Solution

The fourth proportional to 22,495.99, 31,044.63 and 12,424.15 is: 17,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.99 : 31,044.63 = 12,424.15 : x
  2. Step 2: Convert to fraction form
    22,495.99/31,044.63 = 12,424.15/x
  3. Step 3: Cross multiply
    22,495.99x = 31,044.63 × 12,424.15
  4. Step 4: Simplify right side
    22,495.99x = 385,702,922.47
  5. Step 5: Solve for x
    x = 385,702,922.47/22,495.99
  6. Step 6: Final answer
    x = 17,145.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.