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Finding the Fourth Proportional to 13,527.54, 20,294.82 and 4,763.34

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Solution

The fourth proportional to 13,527.54, 20,294.82 and 4,763.34 is: 7,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.54 : 20,294.82 = 4,763.34 : x
  2. Step 2: Convert to fraction form
    13,527.54/20,294.82 = 4,763.34/x
  3. Step 3: Cross multiply
    13,527.54x = 20,294.82 × 4,763.34
  4. Step 4: Simplify right side
    13,527.54x = 96,671,127.90
  5. Step 5: Solve for x
    x = 96,671,127.90/13,527.54
  6. Step 6: Final answer
    x = 7,146.25

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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.