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Finding the Fourth Proportional to 12,749.96, 19,089.46 and 9,620.52

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Solution

The fourth proportional to 12,749.96, 19,089.46 and 9,620.52 is: 14,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.96 : 19,089.46 = 9,620.52 : x
  2. Step 2: Convert to fraction form
    12,749.96/19,089.46 = 9,620.52/x
  3. Step 3: Cross multiply
    12,749.96x = 19,089.46 × 9,620.52
  4. Step 4: Simplify right side
    12,749.96x = 183,650,531.72
  5. Step 5: Solve for x
    x = 183,650,531.72/12,749.96
  6. Step 6: Final answer
    x = 14,404.01

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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.