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Finding the Fourth Proportional to 15,878.98, 23,810.77 and 4,783.60

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Solution

The fourth proportional to 15,878.98, 23,810.77 and 4,783.60 is: 7,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.98 : 23,810.77 = 4,783.60 : x
  2. Step 2: Convert to fraction form
    15,878.98/23,810.77 = 4,783.60/x
  3. Step 3: Cross multiply
    15,878.98x = 23,810.77 × 4,783.60
  4. Step 4: Simplify right side
    15,878.98x = 113,901,056.40
  5. Step 5: Solve for x
    x = 113,901,056.40/15,878.98
  6. Step 6: Final answer
    x = 7,173.07

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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.