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Finding the Fourth Proportional to 15,705.42, 23,558.01 and 3,859.14

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Solution

The fourth proportional to 15,705.42, 23,558.01 and 3,859.14 is: 5,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.42 : 23,558.01 = 3,859.14 : x
  2. Step 2: Convert to fraction form
    15,705.42/23,558.01 = 3,859.14/x
  3. Step 3: Cross multiply
    15,705.42x = 23,558.01 × 3,859.14
  4. Step 4: Simplify right side
    15,705.42x = 90,913,658.71
  5. Step 5: Solve for x
    x = 90,913,658.71/15,705.42
  6. Step 6: Final answer
    x = 5,788.68

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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.