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Finding the Fourth Proportional to 23,525.76, 32,465.16 and 12,916.38

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Solution

The fourth proportional to 23,525.76, 32,465.16 and 12,916.38 is: 17,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.76 : 32,465.16 = 12,916.38 : x
  2. Step 2: Convert to fraction form
    23,525.76/32,465.16 = 12,916.38/x
  3. Step 3: Cross multiply
    23,525.76x = 32,465.16 × 12,916.38
  4. Step 4: Simplify right side
    23,525.76x = 419,332,343.32
  5. Step 5: Solve for x
    x = 419,332,343.32/23,525.76
  6. Step 6: Final answer
    x = 17,824.39

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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.