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Finding the Fourth Proportional to 23,527.02, 32,467.05 and 12,916.38

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Solution

The fourth proportional to 23,527.02, 32,467.05 and 12,916.38 is: 17,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.02 : 32,467.05 = 12,916.38 : x
  2. Step 2: Convert to fraction form
    23,527.02/32,467.05 = 12,916.38/x
  3. Step 3: Cross multiply
    23,527.02x = 32,467.05 × 12,916.38
  4. Step 4: Simplify right side
    23,527.02x = 419,356,755.28
  5. Step 5: Solve for x
    x = 419,356,755.28/23,527.02
  6. Step 6: Final answer
    x = 17,824.47

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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.