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Finding the Fourth Proportional to 15,577.09, 23,365.02 and 5,188.84

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Solution

The fourth proportional to 15,577.09, 23,365.02 and 5,188.84 is: 7,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.09 : 23,365.02 = 5,188.84 : x
  2. Step 2: Convert to fraction form
    15,577.09/23,365.02 = 5,188.84/x
  3. Step 3: Cross multiply
    15,577.09x = 23,365.02 × 5,188.84
  4. Step 4: Simplify right side
    15,577.09x = 121,237,350.38
  5. Step 5: Solve for x
    x = 121,237,350.38/15,577.09
  6. Step 6: Final answer
    x = 7,783.06

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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.