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Finding the Fourth Proportional to 13,817.16, 19,061.52 and 8,508.84

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Solution

The fourth proportional to 13,817.16, 19,061.52 and 8,508.84 is: 11,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.16 : 19,061.52 = 8,508.84 : x
  2. Step 2: Convert to fraction form
    13,817.16/19,061.52 = 8,508.84/x
  3. Step 3: Cross multiply
    13,817.16x = 19,061.52 × 8,508.84
  4. Step 4: Simplify right side
    13,817.16x = 162,191,423.84
  5. Step 5: Solve for x
    x = 162,191,423.84/13,817.16
  6. Step 6: Final answer
    x = 11,738.41

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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.