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Finding the Fourth Proportional to 23,499.86, 32,431.51 and 13,428.07

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Solution

The fourth proportional to 23,499.86, 32,431.51 and 13,428.07 is: 18,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499.86 : 32,431.51 = 13,428.07 : x
  2. Step 2: Convert to fraction form
    23,499.86/32,431.51 = 13,428.07/x
  3. Step 3: Cross multiply
    23,499.86x = 32,431.51 × 13,428.07
  4. Step 4: Simplify right side
    23,499.86x = 435,492,586.49
  5. Step 5: Solve for x
    x = 435,492,586.49/23,499.86
  6. Step 6: Final answer
    x = 18,531.71

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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.