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Finding the Fourth Proportional to 12,309.24, 16,985.21 and 7,004.14

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Solution

The fourth proportional to 12,309.24, 16,985.21 and 7,004.14 is: 9,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.24 : 16,985.21 = 7,004.14 : x
  2. Step 2: Convert to fraction form
    12,309.24/16,985.21 = 7,004.14/x
  3. Step 3: Cross multiply
    12,309.24x = 16,985.21 × 7,004.14
  4. Step 4: Simplify right side
    12,309.24x = 118,966,788.77
  5. Step 5: Solve for x
    x = 118,966,788.77/12,309.24
  6. Step 6: Final answer
    x = 9,664.84

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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.