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Finding the Fourth Proportional to 23,574.12, 35,353.96 and 7,776.24

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Solution

The fourth proportional to 23,574.12, 35,353.96 and 7,776.24 is: 11,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.12 : 35,353.96 = 7,776.24 : x
  2. Step 2: Convert to fraction form
    23,574.12/35,353.96 = 7,776.24/x
  3. Step 3: Cross multiply
    23,574.12x = 35,353.96 × 7,776.24
  4. Step 4: Simplify right side
    23,574.12x = 274,920,877.91
  5. Step 5: Solve for x
    x = 274,920,877.91/23,574.12
  6. Step 6: Final answer
    x = 11,661.98

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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.