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Finding the Fourth Proportional to 14,468.10, 19,965.87 and 8,180.70

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Solution

The fourth proportional to 14,468.10, 19,965.87 and 8,180.70 is: 11,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.10 : 19,965.87 = 8,180.70 : x
  2. Step 2: Convert to fraction form
    14,468.10/19,965.87 = 8,180.70/x
  3. Step 3: Cross multiply
    14,468.10x = 19,965.87 × 8,180.70
  4. Step 4: Simplify right side
    14,468.10x = 163,334,792.71
  5. Step 5: Solve for x
    x = 163,334,792.71/14,468.10
  6. Step 6: Final answer
    x = 11,289.30

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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.