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Finding the Fourth Proportional to 25,334.32, 37,998.60 and 7,802.68

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Solution

The fourth proportional to 25,334.32, 37,998.60 and 7,802.68 is: 11,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334.32 : 37,998.60 = 7,802.68 : x
  2. Step 2: Convert to fraction form
    25,334.32/37,998.60 = 7,802.68/x
  3. Step 3: Cross multiply
    25,334.32x = 37,998.60 × 7,802.68
  4. Step 4: Simplify right side
    25,334.32x = 296,490,916.25
  5. Step 5: Solve for x
    x = 296,490,916.25/25,334.32
  6. Step 6: Final answer
    x = 11,703.13

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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.