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Finding the Fourth Proportional to 12,357.72, 17,038.62 and 8,584.02

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Solution

The fourth proportional to 12,357.72, 17,038.62 and 8,584.02 is: 11,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.72 : 17,038.62 = 8,584.02 : x
  2. Step 2: Convert to fraction form
    12,357.72/17,038.62 = 8,584.02/x
  3. Step 3: Cross multiply
    12,357.72x = 17,038.62 × 8,584.02
  4. Step 4: Simplify right side
    12,357.72x = 146,259,854.85
  5. Step 5: Solve for x
    x = 146,259,854.85/12,357.72
  6. Step 6: Final answer
    x = 11,835.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.