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Finding the Fourth Proportional to 24,580.67, 33,921.18 and 13,402.67

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Solution

The fourth proportional to 24,580.67, 33,921.18 and 13,402.67 is: 18,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.67 : 33,921.18 = 13,402.67 : x
  2. Step 2: Convert to fraction form
    24,580.67/33,921.18 = 13,402.67/x
  3. Step 3: Cross multiply
    24,580.67x = 33,921.18 × 13,402.67
  4. Step 4: Simplify right side
    24,580.67x = 454,634,211.94
  5. Step 5: Solve for x
    x = 454,634,211.94/24,580.67
  6. Step 6: Final answer
    x = 18,495.60

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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.