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Finding the Fourth Proportional to 25,333.82, 38,001.24 and 7,803.64

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Solution

The fourth proportional to 25,333.82, 38,001.24 and 7,803.64 is: 11,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,333.82 : 38,001.24 = 7,803.64 : x
  2. Step 2: Convert to fraction form
    25,333.82/38,001.24 = 7,803.64/x
  3. Step 3: Cross multiply
    25,333.82x = 38,001.24 × 7,803.64
  4. Step 4: Simplify right side
    25,333.82x = 296,547,996.51
  5. Step 5: Solve for x
    x = 296,547,996.51/25,333.82
  6. Step 6: Final answer
    x = 11,705.62

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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.