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Finding the Fourth Proportional to 23,523.84, 32,463.27 and 12,913.38

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Solution

The fourth proportional to 23,523.84, 32,463.27 and 12,913.38 is: 17,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.84 : 32,463.27 = 12,913.38 : x
  2. Step 2: Convert to fraction form
    23,523.84/32,463.27 = 12,913.38/x
  3. Step 3: Cross multiply
    23,523.84x = 32,463.27 × 12,913.38
  4. Step 4: Simplify right side
    23,523.84x = 419,210,541.55
  5. Step 5: Solve for x
    x = 419,210,541.55/23,523.84
  6. Step 6: Final answer
    x = 17,820.67

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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.