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Finding the Fourth Proportional to 15,652.48, 23,464.14 and 7,852.24

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Solution

The fourth proportional to 15,652.48, 23,464.14 and 7,852.24 is: 11,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.48 : 23,464.14 = 7,852.24 : x
  2. Step 2: Convert to fraction form
    15,652.48/23,464.14 = 7,852.24/x
  3. Step 3: Cross multiply
    15,652.48x = 23,464.14 × 7,852.24
  4. Step 4: Simplify right side
    15,652.48x = 184,246,058.67
  5. Step 5: Solve for x
    x = 184,246,058.67/15,652.48
  6. Step 6: Final answer
    x = 11,771.05

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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.