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Finding the Fourth Proportional to 12,085.34, 16,668.15 and 9,985.82

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Solution

The fourth proportional to 12,085.34, 16,668.15 and 9,985.82 is: 13,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.34 : 16,668.15 = 9,985.82 : x
  2. Step 2: Convert to fraction form
    12,085.34/16,668.15 = 9,985.82/x
  3. Step 3: Cross multiply
    12,085.34x = 16,668.15 × 9,985.82
  4. Step 4: Simplify right side
    12,085.34x = 166,445,145.63
  5. Step 5: Solve for x
    x = 166,445,145.63/12,085.34
  6. Step 6: Final answer
    x = 13,772.48

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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.