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Finding the Fourth Proportional to 17,247.78, 23,802.02 and 10,078.11

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Solution

The fourth proportional to 17,247.78, 23,802.02 and 10,078.11 is: 13,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,247.78 : 23,802.02 = 10,078.11 : x
  2. Step 2: Convert to fraction form
    17,247.78/23,802.02 = 10,078.11/x
  3. Step 3: Cross multiply
    17,247.78x = 23,802.02 × 10,078.11
  4. Step 4: Simplify right side
    17,247.78x = 239,879,325.39
  5. Step 5: Solve for x
    x = 239,879,325.39/17,247.78
  6. Step 6: Final answer
    x = 13,907.84

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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.