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Finding the Fourth Proportional to 13,851, 20,776.68 and 4,617

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Solution

The fourth proportional to 13,851, 20,776.68 and 4,617 is: 6,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 20,776.68 = 4,617 : x
  2. Step 2: Convert to fraction form
    13,851/20,776.68 = 4,617/x
  3. Step 3: Cross multiply
    13,851x = 20,776.68 × 4,617
  4. Step 4: Simplify right side
    13,851x = 95,925,931.56
  5. Step 5: Solve for x
    x = 95,925,931.56/13,851
  6. Step 6: Final answer
    x = 6,925.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.