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Finding the Fourth Proportional to 14,688.76, 20,271.72 and 8,401

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Solution

The fourth proportional to 14,688.76, 20,271.72 and 8,401 is: 11,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.76 : 20,271.72 = 8,401 : x
  2. Step 2: Convert to fraction form
    14,688.76/20,271.72 = 8,401/x
  3. Step 3: Cross multiply
    14,688.76x = 20,271.72 × 8,401
  4. Step 4: Simplify right side
    14,688.76x = 170,302,719.72
  5. Step 5: Solve for x
    x = 170,302,719.72/14,688.76
  6. Step 6: Final answer
    x = 11,594.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.