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Finding the Fourth Proportional to 14,762.76, 20,366.21 and 9,382.32

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Solution

The fourth proportional to 14,762.76, 20,366.21 and 9,382.32 is: 12,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.76 : 20,366.21 = 9,382.32 : x
  2. Step 2: Convert to fraction form
    14,762.76/20,366.21 = 9,382.32/x
  3. Step 3: Cross multiply
    14,762.76x = 20,366.21 × 9,382.32
  4. Step 4: Simplify right side
    14,762.76x = 191,082,396.72
  5. Step 5: Solve for x
    x = 191,082,396.72/14,762.76
  6. Step 6: Final answer
    x = 12,943.54

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1.5x scale

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.