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Finding the Fourth Proportional to 12,307.25, 18,465.47 and 7,380.42

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Solution

The fourth proportional to 12,307.25, 18,465.47 and 7,380.42 is: 11,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.25 : 18,465.47 = 7,380.42 : x
  2. Step 2: Convert to fraction form
    12,307.25/18,465.47 = 7,380.42/x
  3. Step 3: Cross multiply
    12,307.25x = 18,465.47 × 7,380.42
  4. Step 4: Simplify right side
    12,307.25x = 136,282,887.20
  5. Step 5: Solve for x
    x = 136,282,887.20/12,307.25
  6. Step 6: Final answer
    x = 11,073.39

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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.