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Finding the Fourth Proportional to 13,242.34, 19,848.39 and 5,441.50

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Solution

The fourth proportional to 13,242.34, 19,848.39 and 5,441.50 is: 8,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.34 : 19,848.39 = 5,441.50 : x
  2. Step 2: Convert to fraction form
    13,242.34/19,848.39 = 5,441.50/x
  3. Step 3: Cross multiply
    13,242.34x = 19,848.39 × 5,441.50
  4. Step 4: Simplify right side
    13,242.34x = 108,005,014.19
  5. Step 5: Solve for x
    x = 108,005,014.19/13,242.34
  6. Step 6: Final answer
    x = 8,156.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.