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Finding the Fourth Proportional to 30,289.68, 41,800.05 and 17,712

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Solution

The fourth proportional to 30,289.68, 41,800.05 and 17,712 is: 24,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.68 : 41,800.05 = 17,712 : x
  2. Step 2: Convert to fraction form
    30,289.68/41,800.05 = 17,712/x
  3. Step 3: Cross multiply
    30,289.68x = 41,800.05 × 17,712
  4. Step 4: Simplify right side
    30,289.68x = 740,362,485.60
  5. Step 5: Solve for x
    x = 740,362,485.60/30,289.68
  6. Step 6: Final answer
    x = 24,442.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.