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Finding the Fourth Proportional to 23,570.08, 32,524.62 and 12,959.50

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Solution

The fourth proportional to 23,570.08, 32,524.62 and 12,959.50 is: 17,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.08 : 32,524.62 = 12,959.50 : x
  2. Step 2: Convert to fraction form
    23,570.08/32,524.62 = 12,959.50/x
  3. Step 3: Cross multiply
    23,570.08x = 32,524.62 × 12,959.50
  4. Step 4: Simplify right side
    23,570.08x = 421,502,812.89
  5. Step 5: Solve for x
    x = 421,502,812.89/23,570.08
  6. Step 6: Final answer
    x = 17,882.96

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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.