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Finding the Fourth Proportional to 14,769.67, 22,102.46 and 9,225.63

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Solution

The fourth proportional to 14,769.67, 22,102.46 and 9,225.63 is: 13,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.67 : 22,102.46 = 9,225.63 : x
  2. Step 2: Convert to fraction form
    14,769.67/22,102.46 = 9,225.63/x
  3. Step 3: Cross multiply
    14,769.67x = 22,102.46 × 9,225.63
  4. Step 4: Simplify right side
    14,769.67x = 203,909,030.60
  5. Step 5: Solve for x
    x = 203,909,030.60/14,769.67
  6. Step 6: Final answer
    x = 13,805.93

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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.