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Finding the Fourth Proportional to 23,566.50, 32,497.66 and 15,605.82

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Solution

The fourth proportional to 23,566.50, 32,497.66 and 15,605.82 is: 21,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,566.50 : 32,497.66 = 15,605.82 : x
  2. Step 2: Convert to fraction form
    23,566.50/32,497.66 = 15,605.82/x
  3. Step 3: Cross multiply
    23,566.50x = 32,497.66 × 15,605.82
  4. Step 4: Simplify right side
    23,566.50x = 507,152,632.38
  5. Step 5: Solve for x
    x = 507,152,632.38/23,566.50
  6. Step 6: Final answer
    x = 21,520.07

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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.