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Finding the Fourth Proportional to 14,572.09, 21,825.33 and 6,764.50

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Solution

The fourth proportional to 14,572.09, 21,825.33 and 6,764.50 is: 10,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.09 : 21,825.33 = 6,764.50 : x
  2. Step 2: Convert to fraction form
    14,572.09/21,825.33 = 6,764.50/x
  3. Step 3: Cross multiply
    14,572.09x = 21,825.33 × 6,764.50
  4. Step 4: Simplify right side
    14,572.09x = 147,637,444.79
  5. Step 5: Solve for x
    x = 147,637,444.79/14,572.09
  6. Step 6: Final answer
    x = 10,131.52

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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.