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Finding the Fourth Proportional to 20,051.32, 27,666.90 and 12,595

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Solution

The fourth proportional to 20,051.32, 27,666.90 and 12,595 is: 17,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.32 : 27,666.90 = 12,595 : x
  2. Step 2: Convert to fraction form
    20,051.32/27,666.90 = 12,595/x
  3. Step 3: Cross multiply
    20,051.32x = 27,666.90 × 12,595
  4. Step 4: Simplify right side
    20,051.32x = 348,464,605.50
  5. Step 5: Solve for x
    x = 348,464,605.50/20,051.32
  6. Step 6: Final answer
    x = 17,378.64

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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.