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Finding the Fourth Proportional to 23,207.51, 32,026.38 and 12,597.14

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Solution

The fourth proportional to 23,207.51, 32,026.38 and 12,597.14 is: 17,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.51 : 32,026.38 = 12,597.14 : x
  2. Step 2: Convert to fraction form
    23,207.51/32,026.38 = 12,597.14/x
  3. Step 3: Cross multiply
    23,207.51x = 32,026.38 × 12,597.14
  4. Step 4: Simplify right side
    23,207.51x = 403,440,632.42
  5. Step 5: Solve for x
    x = 403,440,632.42/23,207.51
  6. Step 6: Final answer
    x = 17,384.06

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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.