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Finding the Fourth Proportional to 14,409.41, 19,886.93 and 8,443.46

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Solution

The fourth proportional to 14,409.41, 19,886.93 and 8,443.46 is: 11,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.41 : 19,886.93 = 8,443.46 : x
  2. Step 2: Convert to fraction form
    14,409.41/19,886.93 = 8,443.46/x
  3. Step 3: Cross multiply
    14,409.41x = 19,886.93 × 8,443.46
  4. Step 4: Simplify right side
    14,409.41x = 167,914,568.80
  5. Step 5: Solve for x
    x = 167,914,568.80/14,409.41
  6. Step 6: Final answer
    x = 11,653.12

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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.