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Finding the Fourth Proportional to 15,783.56, 23,675.94 and 5,254.52

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Solution

The fourth proportional to 15,783.56, 23,675.94 and 5,254.52 is: 7,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.56 : 23,675.94 = 5,254.52 : x
  2. Step 2: Convert to fraction form
    15,783.56/23,675.94 = 5,254.52/x
  3. Step 3: Cross multiply
    15,783.56x = 23,675.94 × 5,254.52
  4. Step 4: Simplify right side
    15,783.56x = 124,405,700.25
  5. Step 5: Solve for x
    x = 124,405,700.25/15,783.56
  6. Step 6: Final answer
    x = 7,881.98

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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.