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Finding the Fourth Proportional to 13,242.34, 19,853.06 and 9,069.70

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Solution

The fourth proportional to 13,242.34, 19,853.06 and 9,069.70 is: 13,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.34 : 19,853.06 = 9,069.70 : x
  2. Step 2: Convert to fraction form
    13,242.34/19,853.06 = 9,069.70/x
  3. Step 3: Cross multiply
    13,242.34x = 19,853.06 × 9,069.70
  4. Step 4: Simplify right side
    13,242.34x = 180,061,298.28
  5. Step 5: Solve for x
    x = 180,061,298.28/13,242.34
  6. Step 6: Final answer
    x = 13,597.39

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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.