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Finding the Fourth Proportional to 25,333.24, 38,003.94 and 7,803.06

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Solution

The fourth proportional to 25,333.24, 38,003.94 and 7,803.06 is: 11,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,333.24 : 38,003.94 = 7,803.06 : x
  2. Step 2: Convert to fraction form
    25,333.24/38,003.94 = 7,803.06/x
  3. Step 3: Cross multiply
    25,333.24x = 38,003.94 × 7,803.06
  4. Step 4: Simplify right side
    25,333.24x = 296,547,024.06
  5. Step 5: Solve for x
    x = 296,547,024.06/25,333.24
  6. Step 6: Final answer
    x = 11,705.85

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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.