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Finding the Fourth Proportional to 14,137.67, 19,503.18 and 9,356.45

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Solution

The fourth proportional to 14,137.67, 19,503.18 and 9,356.45 is: 12,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.67 : 19,503.18 = 9,356.45 : x
  2. Step 2: Convert to fraction form
    14,137.67/19,503.18 = 9,356.45/x
  3. Step 3: Cross multiply
    14,137.67x = 19,503.18 × 9,356.45
  4. Step 4: Simplify right side
    14,137.67x = 182,480,431.00
  5. Step 5: Solve for x
    x = 182,480,431.00/14,137.67
  6. Step 6: Final answer
    x = 12,907.39

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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.