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Finding the Fourth Proportional to 15,683.77, 23,522.93 and 5,153.86

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Solution

The fourth proportional to 15,683.77, 23,522.93 and 5,153.86 is: 7,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.77 : 23,522.93 = 5,153.86 : x
  2. Step 2: Convert to fraction form
    15,683.77/23,522.93 = 5,153.86/x
  3. Step 3: Cross multiply
    15,683.77x = 23,522.93 × 5,153.86
  4. Step 4: Simplify right side
    15,683.77x = 121,233,875.85
  5. Step 5: Solve for x
    x = 121,233,875.85/15,683.77
  6. Step 6: Final answer
    x = 7,729.89

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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.