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Finding the Fourth Proportional to 14,537, 20,061.14 and 7,913

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Solution

The fourth proportional to 14,537, 20,061.14 and 7,913 is: 10,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537 : 20,061.14 = 7,913 : x
  2. Step 2: Convert to fraction form
    14,537/20,061.14 = 7,913/x
  3. Step 3: Cross multiply
    14,537x = 20,061.14 × 7,913
  4. Step 4: Simplify right side
    14,537x = 158,743,800.82
  5. Step 5: Solve for x
    x = 158,743,800.82/14,537
  6. Step 6: Final answer
    x = 10,919.98

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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.