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Finding the Fourth Proportional to 23,970.20, 35,955.59 and 9,180

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Solution

The fourth proportional to 23,970.20, 35,955.59 and 9,180 is: 13,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.20 : 35,955.59 = 9,180 : x
  2. Step 2: Convert to fraction form
    23,970.20/35,955.59 = 9,180/x
  3. Step 3: Cross multiply
    23,970.20x = 35,955.59 × 9,180
  4. Step 4: Simplify right side
    23,970.20x = 330,072,270.30
  5. Step 5: Solve for x
    x = 330,072,270.30/23,970.20
  6. Step 6: Final answer
    x = 13,770.11

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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.