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Finding the Fourth Proportional to 20,617.57, 28,459.10 and 14,666.50

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Solution

The fourth proportional to 20,617.57, 28,459.10 and 14,666.50 is: 20,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.57 : 28,459.10 = 14,666.50 : x
  2. Step 2: Convert to fraction form
    20,617.57/28,459.10 = 14,666.50/x
  3. Step 3: Cross multiply
    20,617.57x = 28,459.10 × 14,666.50
  4. Step 4: Simplify right side
    20,617.57x = 417,395,174.52
  5. Step 5: Solve for x
    x = 417,395,174.52/20,617.57
  6. Step 6: Final answer
    x = 20,244.64

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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.