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Finding the Fourth Proportional to 14,526.30, 20,034.63 and 9,222.42

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Solution

The fourth proportional to 14,526.30, 20,034.63 and 9,222.42 is: 12,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.30 : 20,034.63 = 9,222.42 : x
  2. Step 2: Convert to fraction form
    14,526.30/20,034.63 = 9,222.42/x
  3. Step 3: Cross multiply
    14,526.30x = 20,034.63 × 9,222.42
  4. Step 4: Simplify right side
    14,526.30x = 184,767,772.40
  5. Step 5: Solve for x
    x = 184,767,772.40/14,526.30
  6. Step 6: Final answer
    x = 12,719.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.