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Finding the Fourth Proportional to 14,447.16, 19,922.94 and 8,782.68

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Solution

The fourth proportional to 14,447.16, 19,922.94 and 8,782.68 is: 12,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.16 : 19,922.94 = 8,782.68 : x
  2. Step 2: Convert to fraction form
    14,447.16/19,922.94 = 8,782.68/x
  3. Step 3: Cross multiply
    14,447.16x = 19,922.94 × 8,782.68
  4. Step 4: Simplify right side
    14,447.16x = 174,976,806.68
  5. Step 5: Solve for x
    x = 174,976,806.68/14,447.16
  6. Step 6: Final answer
    x = 12,111.50

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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.