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Finding the Fourth Proportional to 15,802.43, 23,684.81 and 7,357.57

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Solution

The fourth proportional to 15,802.43, 23,684.81 and 7,357.57 is: 11,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.43 : 23,684.81 = 7,357.57 : x
  2. Step 2: Convert to fraction form
    15,802.43/23,684.81 = 7,357.57/x
  3. Step 3: Cross multiply
    15,802.43x = 23,684.81 × 7,357.57
  4. Step 4: Simplify right side
    15,802.43x = 174,262,551.51
  5. Step 5: Solve for x
    x = 174,262,551.51/15,802.43
  6. Step 6: Final answer
    x = 11,027.58

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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.