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Finding the Fourth Proportional to 19,538.89, 29,312.39 and 7,853.02

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Solution

The fourth proportional to 19,538.89, 29,312.39 and 7,853.02 is: 11,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.89 : 29,312.39 = 7,853.02 : x
  2. Step 2: Convert to fraction form
    19,538.89/29,312.39 = 7,853.02/x
  3. Step 3: Cross multiply
    19,538.89x = 29,312.39 × 7,853.02
  4. Step 4: Simplify right side
    19,538.89x = 230,190,784.92
  5. Step 5: Solve for x
    x = 230,190,784.92/19,538.89
  6. Step 6: Final answer
    x = 11,781.16

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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.