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Finding the Fourth Proportional to 19,224.48, 28,836.96 and 6,078

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Solution

The fourth proportional to 19,224.48, 28,836.96 and 6,078 is: 9,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224.48 : 28,836.96 = 6,078 : x
  2. Step 2: Convert to fraction form
    19,224.48/28,836.96 = 6,078/x
  3. Step 3: Cross multiply
    19,224.48x = 28,836.96 × 6,078
  4. Step 4: Simplify right side
    19,224.48x = 175,271,042.88
  5. Step 5: Solve for x
    x = 175,271,042.88/19,224.48
  6. Step 6: Final answer
    x = 9,117.08

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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.