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Finding the Fourth Proportional to 13,955.67, 19,251.03 and 8,284.86

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Solution

The fourth proportional to 13,955.67, 19,251.03 and 8,284.86 is: 11,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,955.67 : 19,251.03 = 8,284.86 : x
  2. Step 2: Convert to fraction form
    13,955.67/19,251.03 = 8,284.86/x
  3. Step 3: Cross multiply
    13,955.67x = 19,251.03 × 8,284.86
  4. Step 4: Simplify right side
    13,955.67x = 159,492,088.41
  5. Step 5: Solve for x
    x = 159,492,088.41/13,955.67
  6. Step 6: Final answer
    x = 11,428.48

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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.