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Finding the Fourth Proportional to 13,559.17, 20,341.73 and 4,071.07

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Solution

The fourth proportional to 13,559.17, 20,341.73 and 4,071.07 is: 6,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,559.17 : 20,341.73 = 4,071.07 : x
  2. Step 2: Convert to fraction form
    13,559.17/20,341.73 = 4,071.07/x
  3. Step 3: Cross multiply
    13,559.17x = 20,341.73 × 4,071.07
  4. Step 4: Simplify right side
    13,559.17x = 82,812,606.75
  5. Step 5: Solve for x
    x = 82,812,606.75/13,559.17
  6. Step 6: Final answer
    x = 6,107.50

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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.