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Finding the Fourth Proportional to 12,830.01, 17,709.48 and 8,588.31

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Solution

The fourth proportional to 12,830.01, 17,709.48 and 8,588.31 is: 11,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.01 : 17,709.48 = 8,588.31 : x
  2. Step 2: Convert to fraction form
    12,830.01/17,709.48 = 8,588.31/x
  3. Step 3: Cross multiply
    12,830.01x = 17,709.48 × 8,588.31
  4. Step 4: Simplify right side
    12,830.01x = 152,094,504.18
  5. Step 5: Solve for x
    x = 152,094,504.18/12,830.01
  6. Step 6: Final answer
    x = 11,854.59

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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.