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Finding the Fourth Proportional to 23,572.32, 35,349.36 and 7,776.76

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Solution

The fourth proportional to 23,572.32, 35,349.36 and 7,776.76 is: 11,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.32 : 35,349.36 = 7,776.76 : x
  2. Step 2: Convert to fraction form
    23,572.32/35,349.36 = 7,776.76/x
  3. Step 3: Cross multiply
    23,572.32x = 35,349.36 × 7,776.76
  4. Step 4: Simplify right side
    23,572.32x = 274,903,488.87
  5. Step 5: Solve for x
    x = 274,903,488.87/23,572.32
  6. Step 6: Final answer
    x = 11,662.13

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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.