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Finding the Fourth Proportional to 14,657.83, 21,989.48 and 4,794.46

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Solution

The fourth proportional to 14,657.83, 21,989.48 and 4,794.46 is: 7,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.83 : 21,989.48 = 4,794.46 : x
  2. Step 2: Convert to fraction form
    14,657.83/21,989.48 = 4,794.46/x
  3. Step 3: Cross multiply
    14,657.83x = 21,989.48 × 4,794.46
  4. Step 4: Simplify right side
    14,657.83x = 105,427,603.33
  5. Step 5: Solve for x
    x = 105,427,603.33/14,657.83
  6. Step 6: Final answer
    x = 7,192.58

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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.