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Finding the Fourth Proportional to 19,097.86, 28,647.56 and 9,097.46

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Solution

The fourth proportional to 19,097.86, 28,647.56 and 9,097.46 is: 13,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.86 : 28,647.56 = 9,097.46 : x
  2. Step 2: Convert to fraction form
    19,097.86/28,647.56 = 9,097.46/x
  3. Step 3: Cross multiply
    19,097.86x = 28,647.56 × 9,097.46
  4. Step 4: Simplify right side
    19,097.86x = 260,620,128.10
  5. Step 5: Solve for x
    x = 260,620,128.10/19,097.86
  6. Step 6: Final answer
    x = 13,646.56

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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.