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Finding the Fourth Proportional to 19,842.84, 27,368.69 and 13,134.22

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Solution

The fourth proportional to 19,842.84, 27,368.69 and 13,134.22 is: 18,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.84 : 27,368.69 = 13,134.22 : x
  2. Step 2: Convert to fraction form
    19,842.84/27,368.69 = 13,134.22/x
  3. Step 3: Cross multiply
    19,842.84x = 27,368.69 × 13,134.22
  4. Step 4: Simplify right side
    19,842.84x = 359,466,261.48
  5. Step 5: Solve for x
    x = 359,466,261.48/19,842.84
  6. Step 6: Final answer
    x = 18,115.67

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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.