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Finding the Fourth Proportional to 23,168, 31,971.84 and 13,232

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Solution

The fourth proportional to 23,168, 31,971.84 and 13,232 is: 18,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168 : 31,971.84 = 13,232 : x
  2. Step 2: Convert to fraction form
    23,168/31,971.84 = 13,232/x
  3. Step 3: Cross multiply
    23,168x = 31,971.84 × 13,232
  4. Step 4: Simplify right side
    23,168x = 423,051,386.88
  5. Step 5: Solve for x
    x = 423,051,386.88/23,168
  6. Step 6: Final answer
    x = 18,260.16

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