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Finding the Fourth Proportional to 12,431.93, 18,647.95 and 5,036.53

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Solution

The fourth proportional to 12,431.93, 18,647.95 and 5,036.53 is: 7,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.93 : 18,647.95 = 5,036.53 : x
  2. Step 2: Convert to fraction form
    12,431.93/18,647.95 = 5,036.53/x
  3. Step 3: Cross multiply
    12,431.93x = 18,647.95 × 5,036.53
  4. Step 4: Simplify right side
    12,431.93x = 93,920,959.61
  5. Step 5: Solve for x
    x = 93,920,959.61/12,431.93
  6. Step 6: Final answer
    x = 7,554.82

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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.