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Finding the Fourth Proportional to 12,405.60, 17,104.68 and 9,256.32

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Solution

The fourth proportional to 12,405.60, 17,104.68 and 9,256.32 is: 12,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.60 : 17,104.68 = 9,256.32 : x
  2. Step 2: Convert to fraction form
    12,405.60/17,104.68 = 9,256.32/x
  3. Step 3: Cross multiply
    12,405.60x = 17,104.68 × 9,256.32
  4. Step 4: Simplify right side
    12,405.60x = 158,326,391.58
  5. Step 5: Solve for x
    x = 158,326,391.58/12,405.60
  6. Step 6: Final answer
    x = 12,762.49

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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.