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Finding the Fourth Proportional to 17,384.90, 23,991.12 and 9,427.10

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Solution

The fourth proportional to 17,384.90, 23,991.12 and 9,427.10 is: 13,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.90 : 23,991.12 = 9,427.10 : x
  2. Step 2: Convert to fraction form
    17,384.90/23,991.12 = 9,427.10/x
  3. Step 3: Cross multiply
    17,384.90x = 23,991.12 × 9,427.10
  4. Step 4: Simplify right side
    17,384.90x = 226,166,567.40
  5. Step 5: Solve for x
    x = 226,166,567.40/17,384.90
  6. Step 6: Final answer
    x = 13,009.37

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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.