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Finding the Fourth Proportional to 13,842.02, 19,096.17 and 9,652.70

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Solution

The fourth proportional to 13,842.02, 19,096.17 and 9,652.70 is: 13,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.02 : 19,096.17 = 9,652.70 : x
  2. Step 2: Convert to fraction form
    13,842.02/19,096.17 = 9,652.70/x
  3. Step 3: Cross multiply
    13,842.02x = 19,096.17 × 9,652.70
  4. Step 4: Simplify right side
    13,842.02x = 184,329,600.16
  5. Step 5: Solve for x
    x = 184,329,600.16/13,842.02
  6. Step 6: Final answer
    x = 13,316.67

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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.