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Finding the Fourth Proportional to 12,148.90, 18,233.07 and 6,307.18

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Solution

The fourth proportional to 12,148.90, 18,233.07 and 6,307.18 is: 9,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.90 : 18,233.07 = 6,307.18 : x
  2. Step 2: Convert to fraction form
    12,148.90/18,233.07 = 6,307.18/x
  3. Step 3: Cross multiply
    12,148.90x = 18,233.07 × 6,307.18
  4. Step 4: Simplify right side
    12,148.90x = 114,999,131.74
  5. Step 5: Solve for x
    x = 114,999,131.74/12,148.90
  6. Step 6: Final answer
    x = 9,465.81

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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.