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Finding the Fourth Proportional to 14,071.67, 19,418.66 and 7,784.04

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Solution

The fourth proportional to 14,071.67, 19,418.66 and 7,784.04 is: 10,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.67 : 19,418.66 = 7,784.04 : x
  2. Step 2: Convert to fraction form
    14,071.67/19,418.66 = 7,784.04/x
  3. Step 3: Cross multiply
    14,071.67x = 19,418.66 × 7,784.04
  4. Step 4: Simplify right side
    14,071.67x = 151,155,626.19
  5. Step 5: Solve for x
    x = 151,155,626.19/14,071.67
  6. Step 6: Final answer
    x = 10,741.84

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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.