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Finding the Fourth Proportional to 15,577.40, 23,352.06 and 5,709.80

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Solution

The fourth proportional to 15,577.40, 23,352.06 and 5,709.80 is: 8,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.40 : 23,352.06 = 5,709.80 : x
  2. Step 2: Convert to fraction form
    15,577.40/23,352.06 = 5,709.80/x
  3. Step 3: Cross multiply
    15,577.40x = 23,352.06 × 5,709.80
  4. Step 4: Simplify right side
    15,577.40x = 133,335,592.19
  5. Step 5: Solve for x
    x = 133,335,592.19/15,577.40
  6. Step 6: Final answer
    x = 8,559.55

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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.