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Finding the Fourth Proportional to 13,780.29, 19,016.67 and 7,492.67

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Solution

The fourth proportional to 13,780.29, 19,016.67 and 7,492.67 is: 10,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.29 : 19,016.67 = 7,492.67 : x
  2. Step 2: Convert to fraction form
    13,780.29/19,016.67 = 7,492.67/x
  3. Step 3: Cross multiply
    13,780.29x = 19,016.67 × 7,492.67
  4. Step 4: Simplify right side
    13,780.29x = 142,485,632.81
  5. Step 5: Solve for x
    x = 142,485,632.81/13,780.29
  6. Step 6: Final answer
    x = 10,339.81

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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.