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Finding the Fourth Proportional to 15,778.84, 23,671.50 and 5,918.08

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Solution

The fourth proportional to 15,778.84, 23,671.50 and 5,918.08 is: 8,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.84 : 23,671.50 = 5,918.08 : x
  2. Step 2: Convert to fraction form
    15,778.84/23,671.50 = 5,918.08/x
  3. Step 3: Cross multiply
    15,778.84x = 23,671.50 × 5,918.08
  4. Step 4: Simplify right side
    15,778.84x = 140,089,830.72
  5. Step 5: Solve for x
    x = 140,089,830.72/15,778.84
  6. Step 6: Final answer
    x = 8,878.34

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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.