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Finding the Fourth Proportional to 20,328.56, 30,476.68 and 13,352

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Solution

The fourth proportional to 20,328.56, 30,476.68 and 13,352 is: 20,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328.56 : 30,476.68 = 13,352 : x
  2. Step 2: Convert to fraction form
    20,328.56/30,476.68 = 13,352/x
  3. Step 3: Cross multiply
    20,328.56x = 30,476.68 × 13,352
  4. Step 4: Simplify right side
    20,328.56x = 406,924,631.36
  5. Step 5: Solve for x
    x = 406,924,631.36/20,328.56
  6. Step 6: Final answer
    x = 20,017.39

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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.