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Finding the Fourth Proportional to 23,431.68, 32,335.38 and 12,821.16

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Solution

The fourth proportional to 23,431.68, 32,335.38 and 12,821.16 is: 17,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.68 : 32,335.38 = 12,821.16 : x
  2. Step 2: Convert to fraction form
    23,431.68/32,335.38 = 12,821.16/x
  3. Step 3: Cross multiply
    23,431.68x = 32,335.38 × 12,821.16
  4. Step 4: Simplify right side
    23,431.68x = 414,577,080.64
  5. Step 5: Solve for x
    x = 414,577,080.64/23,431.68
  6. Step 6: Final answer
    x = 17,693.02

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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.