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Finding the Fourth Proportional to 17,014.42, 23,478.74 and 9,460.16

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Solution

The fourth proportional to 17,014.42, 23,478.74 and 9,460.16 is: 13,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,014.42 : 23,478.74 = 9,460.16 : x
  2. Step 2: Convert to fraction form
    17,014.42/23,478.74 = 9,460.16/x
  3. Step 3: Cross multiply
    17,014.42x = 23,478.74 × 9,460.16
  4. Step 4: Simplify right side
    17,014.42x = 222,112,637.00
  5. Step 5: Solve for x
    x = 222,112,637.00/17,014.42
  6. Step 6: Final answer
    x = 13,054.38

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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.