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Finding the Fourth Proportional to 23,746, 35,619.06 and 9,895

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Solution

The fourth proportional to 23,746, 35,619.06 and 9,895 is: 14,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746 : 35,619.06 = 9,895 : x
  2. Step 2: Convert to fraction form
    23,746/35,619.06 = 9,895/x
  3. Step 3: Cross multiply
    23,746x = 35,619.06 × 9,895
  4. Step 4: Simplify right side
    23,746x = 352,450,598.70
  5. Step 5: Solve for x
    x = 352,450,598.70/23,746
  6. Step 6: Final answer
    x = 14,842.53

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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.