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Finding the Fourth Proportional to 13,953.72, 20,930.58 and 4,719

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Solution

The fourth proportional to 13,953.72, 20,930.58 and 4,719 is: 7,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.72 : 20,930.58 = 4,719 : x
  2. Step 2: Convert to fraction form
    13,953.72/20,930.58 = 4,719/x
  3. Step 3: Cross multiply
    13,953.72x = 20,930.58 × 4,719
  4. Step 4: Simplify right side
    13,953.72x = 98,771,407.02
  5. Step 5: Solve for x
    x = 98,771,407.02/13,953.72
  6. Step 6: Final answer
    x = 7,078.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.