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Finding the Fourth Proportional to 14,096.93, 19,409.47 and 11,968.04

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Solution

The fourth proportional to 14,096.93, 19,409.47 and 11,968.04 is: 16,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.93 : 19,409.47 = 11,968.04 : x
  2. Step 2: Convert to fraction form
    14,096.93/19,409.47 = 11,968.04/x
  3. Step 3: Cross multiply
    14,096.93x = 19,409.47 × 11,968.04
  4. Step 4: Simplify right side
    14,096.93x = 232,293,331.94
  5. Step 5: Solve for x
    x = 232,293,331.94/14,096.93
  6. Step 6: Final answer
    x = 16,478.30

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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.