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Finding the Fourth Proportional to 14,430.33, 21,628.98 and 6,538.86

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Solution

The fourth proportional to 14,430.33, 21,628.98 and 6,538.86 is: 9,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.33 : 21,628.98 = 6,538.86 : x
  2. Step 2: Convert to fraction form
    14,430.33/21,628.98 = 6,538.86/x
  3. Step 3: Cross multiply
    14,430.33x = 21,628.98 × 6,538.86
  4. Step 4: Simplify right side
    14,430.33x = 141,428,872.16
  5. Step 5: Solve for x
    x = 141,428,872.16/14,430.33
  6. Step 6: Final answer
    x = 9,800.81

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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.