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Finding the Fourth Proportional to 17,315.84, 23,895.68 and 9,864

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Solution

The fourth proportional to 17,315.84, 23,895.68 and 9,864 is: 13,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,315.84 : 23,895.68 = 9,864 : x
  2. Step 2: Convert to fraction form
    17,315.84/23,895.68 = 9,864/x
  3. Step 3: Cross multiply
    17,315.84x = 23,895.68 × 9,864
  4. Step 4: Simplify right side
    17,315.84x = 235,706,987.52
  5. Step 5: Solve for x
    x = 235,706,987.52/17,315.84
  6. Step 6: Final answer
    x = 13,612.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.