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Finding the Fourth Proportional to 20,506.34, 28,300.08 and 11,553

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Solution

The fourth proportional to 20,506.34, 28,300.08 and 11,553 is: 15,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.34 : 28,300.08 = 11,553 : x
  2. Step 2: Convert to fraction form
    20,506.34/28,300.08 = 11,553/x
  3. Step 3: Cross multiply
    20,506.34x = 28,300.08 × 11,553
  4. Step 4: Simplify right side
    20,506.34x = 326,950,824.24
  5. Step 5: Solve for x
    x = 326,950,824.24/20,506.34
  6. Step 6: Final answer
    x = 15,943.89

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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.