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Finding the Fourth Proportional to 23,547.38, 35,320.15 and 7,965

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Solution

The fourth proportional to 23,547.38, 35,320.15 and 7,965 is: 11,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.38 : 35,320.15 = 7,965 : x
  2. Step 2: Convert to fraction form
    23,547.38/35,320.15 = 7,965/x
  3. Step 3: Cross multiply
    23,547.38x = 35,320.15 × 7,965
  4. Step 4: Simplify right side
    23,547.38x = 281,324,994.75
  5. Step 5: Solve for x
    x = 281,324,994.75/23,547.38
  6. Step 6: Final answer
    x = 11,947.19

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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.