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Finding the Fourth Proportional to 20,875.68, 31,277.10 and 17,388.12

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Solution

The fourth proportional to 20,875.68, 31,277.10 and 17,388.12 is: 26,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.68 : 31,277.10 = 17,388.12 : x
  2. Step 2: Convert to fraction form
    20,875.68/31,277.10 = 17,388.12/x
  3. Step 3: Cross multiply
    20,875.68x = 31,277.10 × 17,388.12
  4. Step 4: Simplify right side
    20,875.68x = 543,849,968.05
  5. Step 5: Solve for x
    x = 543,849,968.05/20,875.68
  6. Step 6: Final answer
    x = 26,051.84

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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.