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Finding the Fourth Proportional to 14,572.50, 21,838.09 and 11,270.13

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Solution

The fourth proportional to 14,572.50, 21,838.09 and 11,270.13 is: 16,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.50 : 21,838.09 = 11,270.13 : x
  2. Step 2: Convert to fraction form
    14,572.50/21,838.09 = 11,270.13/x
  3. Step 3: Cross multiply
    14,572.50x = 21,838.09 × 11,270.13
  4. Step 4: Simplify right side
    14,572.50x = 246,118,113.25
  5. Step 5: Solve for x
    x = 246,118,113.25/14,572.50
  6. Step 6: Final answer
    x = 16,889.22

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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.