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Finding the Fourth Proportional to 30,718.36, 46,083.69 and 9,663.70

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Solution

The fourth proportional to 30,718.36, 46,083.69 and 9,663.70 is: 14,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718.36 : 46,083.69 = 9,663.70 : x
  2. Step 2: Convert to fraction form
    30,718.36/46,083.69 = 9,663.70/x
  3. Step 3: Cross multiply
    30,718.36x = 46,083.69 × 9,663.70
  4. Step 4: Simplify right side
    30,718.36x = 445,338,897.45
  5. Step 5: Solve for x
    x = 445,338,897.45/30,718.36
  6. Step 6: Final answer
    x = 14,497.48

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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.