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Finding the Fourth Proportional to 14,363.64, 19,823.72 and 8,077.23

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Solution

The fourth proportional to 14,363.64, 19,823.72 and 8,077.23 is: 11,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363.64 : 19,823.72 = 8,077.23 : x
  2. Step 2: Convert to fraction form
    14,363.64/19,823.72 = 8,077.23/x
  3. Step 3: Cross multiply
    14,363.64x = 19,823.72 × 8,077.23
  4. Step 4: Simplify right side
    14,363.64x = 160,120,705.51
  5. Step 5: Solve for x
    x = 160,120,705.51/14,363.64
  6. Step 6: Final answer
    x = 11,147.64

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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.