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Finding the Fourth Proportional to 23,570.30, 35,353.02 and 7,987.52

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Solution

The fourth proportional to 23,570.30, 35,353.02 and 7,987.52 is: 11,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.30 : 35,353.02 = 7,987.52 : x
  2. Step 2: Convert to fraction form
    23,570.30/35,353.02 = 7,987.52/x
  3. Step 3: Cross multiply
    23,570.30x = 35,353.02 × 7,987.52
  4. Step 4: Simplify right side
    23,570.30x = 282,382,954.31
  5. Step 5: Solve for x
    x = 282,382,954.31/23,570.30
  6. Step 6: Final answer
    x = 11,980.46

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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.