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Finding the Fourth Proportional to 19,538.08, 29,259.60 and 9,152.80

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Solution

The fourth proportional to 19,538.08, 29,259.60 and 9,152.80 is: 13,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.08 : 29,259.60 = 9,152.80 : x
  2. Step 2: Convert to fraction form
    19,538.08/29,259.60 = 9,152.80/x
  3. Step 3: Cross multiply
    19,538.08x = 29,259.60 × 9,152.80
  4. Step 4: Simplify right side
    19,538.08x = 267,807,266.88
  5. Step 5: Solve for x
    x = 267,807,266.88/19,538.08
  6. Step 6: Final answer
    x = 13,706.94

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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.