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Finding the Fourth Proportional to 14,536.96, 21,806.40 and 5,300.48

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Solution

The fourth proportional to 14,536.96, 21,806.40 and 5,300.48 is: 7,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.96 : 21,806.40 = 5,300.48 : x
  2. Step 2: Convert to fraction form
    14,536.96/21,806.40 = 5,300.48/x
  3. Step 3: Cross multiply
    14,536.96x = 21,806.40 × 5,300.48
  4. Step 4: Simplify right side
    14,536.96x = 115,584,387.07
  5. Step 5: Solve for x
    x = 115,584,387.07/14,536.96
  6. Step 6: Final answer
    x = 7,951.07

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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.