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Finding the Fourth Proportional to 14,312.43, 19,746.59 and 8,649.32

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Solution

The fourth proportional to 14,312.43, 19,746.59 and 8,649.32 is: 11,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.43 : 19,746.59 = 8,649.32 : x
  2. Step 2: Convert to fraction form
    14,312.43/19,746.59 = 8,649.32/x
  3. Step 3: Cross multiply
    14,312.43x = 19,746.59 × 8,649.32
  4. Step 4: Simplify right side
    14,312.43x = 170,794,433.84
  5. Step 5: Solve for x
    x = 170,794,433.84/14,312.43
  6. Step 6: Final answer
    x = 11,933.29

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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.