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Finding the Fourth Proportional to 13,898.34, 20,842.26 and 4,536.14

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Solution

The fourth proportional to 13,898.34, 20,842.26 and 4,536.14 is: 6,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.34 : 20,842.26 = 4,536.14 : x
  2. Step 2: Convert to fraction form
    13,898.34/20,842.26 = 4,536.14/x
  3. Step 3: Cross multiply
    13,898.34x = 20,842.26 × 4,536.14
  4. Step 4: Simplify right side
    13,898.34x = 94,543,409.28
  5. Step 5: Solve for x
    x = 94,543,409.28/13,898.34
  6. Step 6: Final answer
    x = 6,802.50

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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.