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Finding the Fourth Proportional to 12,784.58, 17,648.18 and 8,595.26

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Solution

The fourth proportional to 12,784.58, 17,648.18 and 8,595.26 is: 11,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.58 : 17,648.18 = 8,595.26 : x
  2. Step 2: Convert to fraction form
    12,784.58/17,648.18 = 8,595.26/x
  3. Step 3: Cross multiply
    12,784.58x = 17,648.18 × 8,595.26
  4. Step 4: Simplify right side
    12,784.58x = 151,690,662.82
  5. Step 5: Solve for x
    x = 151,690,662.82/12,784.58
  6. Step 6: Final answer
    x = 11,865.13

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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.