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Finding the Fourth Proportional to 23,284.84, 34,903.14 and 9,239.08

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Solution

The fourth proportional to 23,284.84, 34,903.14 and 9,239.08 is: 13,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.84 : 34,903.14 = 9,239.08 : x
  2. Step 2: Convert to fraction form
    23,284.84/34,903.14 = 9,239.08/x
  3. Step 3: Cross multiply
    23,284.84x = 34,903.14 × 9,239.08
  4. Step 4: Simplify right side
    23,284.84x = 322,472,902.71
  5. Step 5: Solve for x
    x = 322,472,902.71/23,284.84
  6. Step 6: Final answer
    x = 13,849.05

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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.