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Finding the Fourth Proportional to 12,962.35, 19,435.16 and 7,117.39

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Solution

The fourth proportional to 12,962.35, 19,435.16 and 7,117.39 is: 10,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.35 : 19,435.16 = 7,117.39 : x
  2. Step 2: Convert to fraction form
    12,962.35/19,435.16 = 7,117.39/x
  3. Step 3: Cross multiply
    12,962.35x = 19,435.16 × 7,117.39
  4. Step 4: Simplify right side
    12,962.35x = 138,327,577.85
  5. Step 5: Solve for x
    x = 138,327,577.85/12,962.35
  6. Step 6: Final answer
    x = 10,671.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.