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Finding the Fourth Proportional to 13,256.61, 18,284.45 and 8,409.71

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Solution

The fourth proportional to 13,256.61, 18,284.45 and 8,409.71 is: 11,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.61 : 18,284.45 = 8,409.71 : x
  2. Step 2: Convert to fraction form
    13,256.61/18,284.45 = 8,409.71/x
  3. Step 3: Cross multiply
    13,256.61x = 18,284.45 × 8,409.71
  4. Step 4: Simplify right side
    13,256.61x = 153,766,788.54
  5. Step 5: Solve for x
    x = 153,766,788.54/13,256.61
  6. Step 6: Final answer
    x = 11,599.25

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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.