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Finding the Fourth Proportional to 13,006.40, 17,944 and 8,289.60

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Solution

The fourth proportional to 13,006.40, 17,944 and 8,289.60 is: 11,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.40 : 17,944 = 8,289.60 : x
  2. Step 2: Convert to fraction form
    13,006.40/17,944 = 8,289.60/x
  3. Step 3: Cross multiply
    13,006.40x = 17,944 × 8,289.60
  4. Step 4: Simplify right side
    13,006.40x = 148,748,582.40
  5. Step 5: Solve for x
    x = 148,748,582.40/13,006.40
  6. Step 6: Final answer
    x = 11,436.57

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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.