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Finding the Fourth Proportional to 13,135.32, 19,706.65 and 7,296.03

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Solution

The fourth proportional to 13,135.32, 19,706.65 and 7,296.03 is: 10,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.32 : 19,706.65 = 7,296.03 : x
  2. Step 2: Convert to fraction form
    13,135.32/19,706.65 = 7,296.03/x
  3. Step 3: Cross multiply
    13,135.32x = 19,706.65 × 7,296.03
  4. Step 4: Simplify right side
    13,135.32x = 143,780,291.36
  5. Step 5: Solve for x
    x = 143,780,291.36/13,135.32
  6. Step 6: Final answer
    x = 10,946.08

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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.