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Finding the Fourth Proportional to 13,097.57, 19,650.22 and 7,554.89

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Solution

The fourth proportional to 13,097.57, 19,650.22 and 7,554.89 is: 11,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.57 : 19,650.22 = 7,554.89 : x
  2. Step 2: Convert to fraction form
    13,097.57/19,650.22 = 7,554.89/x
  3. Step 3: Cross multiply
    13,097.57x = 19,650.22 × 7,554.89
  4. Step 4: Simplify right side
    13,097.57x = 148,455,280.81
  5. Step 5: Solve for x
    x = 148,455,280.81/13,097.57
  6. Step 6: Final answer
    x = 11,334.57

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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.