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Finding the Fourth Proportional to 23,647.95, 32,632.53 and 13,301.24

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Solution

The fourth proportional to 23,647.95, 32,632.53 and 13,301.24 is: 18,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.95 : 32,632.53 = 13,301.24 : x
  2. Step 2: Convert to fraction form
    23,647.95/32,632.53 = 13,301.24/x
  3. Step 3: Cross multiply
    23,647.95x = 32,632.53 × 13,301.24
  4. Step 4: Simplify right side
    23,647.95x = 434,053,113.34
  5. Step 5: Solve for x
    x = 434,053,113.34/23,647.95
  6. Step 6: Final answer
    x = 18,354.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.