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Finding the Fourth Proportional to 18,537, 25,581.06 and 10,153.50

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Solution

The fourth proportional to 18,537, 25,581.06 and 10,153.50 is: 14,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537 : 25,581.06 = 10,153.50 : x
  2. Step 2: Convert to fraction form
    18,537/25,581.06 = 10,153.50/x
  3. Step 3: Cross multiply
    18,537x = 25,581.06 × 10,153.50
  4. Step 4: Simplify right side
    18,537x = 259,737,292.71
  5. Step 5: Solve for x
    x = 259,737,292.71/18,537
  6. Step 6: Final answer
    x = 14,011.83

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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.