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Finding the Fourth Proportional to 22,424.63, 30,946.01 and 12,998.66

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Solution

The fourth proportional to 22,424.63, 30,946.01 and 12,998.66 is: 17,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.63 : 30,946.01 = 12,998.66 : x
  2. Step 2: Convert to fraction form
    22,424.63/30,946.01 = 12,998.66/x
  3. Step 3: Cross multiply
    22,424.63x = 30,946.01 × 12,998.66
  4. Step 4: Simplify right side
    22,424.63x = 402,256,442.62
  5. Step 5: Solve for x
    x = 402,256,442.62/22,424.63
  6. Step 6: Final answer
    x = 17,938.16

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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.