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Finding the Fourth Proportional to 14,513.40, 21,766.44 and 7,009.56

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Solution

The fourth proportional to 14,513.40, 21,766.44 and 7,009.56 is: 10,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.40 : 21,766.44 = 7,009.56 : x
  2. Step 2: Convert to fraction form
    14,513.40/21,766.44 = 7,009.56/x
  3. Step 3: Cross multiply
    14,513.40x = 21,766.44 × 7,009.56
  4. Step 4: Simplify right side
    14,513.40x = 152,573,167.17
  5. Step 5: Solve for x
    x = 152,573,167.17/14,513.40
  6. Step 6: Final answer
    x = 10,512.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.