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Finding the Fourth Proportional to 13,653.60, 20,476.65 and 8,648.46

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Solution

The fourth proportional to 13,653.60, 20,476.65 and 8,648.46 is: 12,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.60 : 20,476.65 = 8,648.46 : x
  2. Step 2: Convert to fraction form
    13,653.60/20,476.65 = 8,648.46/x
  3. Step 3: Cross multiply
    13,653.60x = 20,476.65 × 8,648.46
  4. Step 4: Simplify right side
    13,653.60x = 177,091,488.46
  5. Step 5: Solve for x
    x = 177,091,488.46/13,653.60
  6. Step 6: Final answer
    x = 12,970.31

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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.