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Finding the Fourth Proportional to 23,577.56, 35,368.18 and 9,537.02

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Solution

The fourth proportional to 23,577.56, 35,368.18 and 9,537.02 is: 14,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.56 : 35,368.18 = 9,537.02 : x
  2. Step 2: Convert to fraction form
    23,577.56/35,368.18 = 9,537.02/x
  3. Step 3: Cross multiply
    23,577.56x = 35,368.18 × 9,537.02
  4. Step 4: Simplify right side
    23,577.56x = 337,307,040.02
  5. Step 5: Solve for x
    x = 337,307,040.02/23,577.56
  6. Step 6: Final answer
    x = 14,306.27

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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.