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Finding the Fourth Proportional to 23,870.24, 35,805.36 and 7,230.08

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Solution

The fourth proportional to 23,870.24, 35,805.36 and 7,230.08 is: 10,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.24 : 35,805.36 = 7,230.08 : x
  2. Step 2: Convert to fraction form
    23,870.24/35,805.36 = 7,230.08/x
  3. Step 3: Cross multiply
    23,870.24x = 35,805.36 × 7,230.08
  4. Step 4: Simplify right side
    23,870.24x = 258,875,617.23
  5. Step 5: Solve for x
    x = 258,875,617.23/23,870.24
  6. Step 6: Final answer
    x = 10,845.12

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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.