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Finding the Fourth Proportional to 23,047.56, 34,562.64 and 7,461

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Solution

The fourth proportional to 23,047.56, 34,562.64 and 7,461 is: 11,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.56 : 34,562.64 = 7,461 : x
  2. Step 2: Convert to fraction form
    23,047.56/34,562.64 = 7,461/x
  3. Step 3: Cross multiply
    23,047.56x = 34,562.64 × 7,461
  4. Step 4: Simplify right side
    23,047.56x = 257,871,857.04
  5. Step 5: Solve for x
    x = 257,871,857.04/23,047.56
  6. Step 6: Final answer
    x = 11,188.68

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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.