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Finding the Fourth Proportional to 23,853, 35,767.86 and 7,209.84

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Solution

The fourth proportional to 23,853, 35,767.86 and 7,209.84 is: 10,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853 : 35,767.86 = 7,209.84 : x
  2. Step 2: Convert to fraction form
    23,853/35,767.86 = 7,209.84/x
  3. Step 3: Cross multiply
    23,853x = 35,767.86 × 7,209.84
  4. Step 4: Simplify right side
    23,853x = 257,880,547.74
  5. Step 5: Solve for x
    x = 257,880,547.74/23,853
  6. Step 6: Final answer
    x = 10,811.24

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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.