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Finding the Fourth Proportional to 15,923.82, 23,852.88 and 9,330

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Solution

The fourth proportional to 15,923.82, 23,852.88 and 9,330 is: 13,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.82 : 23,852.88 = 9,330 : x
  2. Step 2: Convert to fraction form
    15,923.82/23,852.88 = 9,330/x
  3. Step 3: Cross multiply
    15,923.82x = 23,852.88 × 9,330
  4. Step 4: Simplify right side
    15,923.82x = 222,547,370.40
  5. Step 5: Solve for x
    x = 222,547,370.40/15,923.82
  6. Step 6: Final answer
    x = 13,975.75

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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.