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Finding the Fourth Proportional to 30,857.68, 42,583.28 and 17,428.89

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Solution

The fourth proportional to 30,857.68, 42,583.28 and 17,428.89 is: 24,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.68 : 42,583.28 = 17,428.89 : x
  2. Step 2: Convert to fraction form
    30,857.68/42,583.28 = 17,428.89/x
  3. Step 3: Cross multiply
    30,857.68x = 42,583.28 × 17,428.89
  4. Step 4: Simplify right side
    30,857.68x = 742,179,302.96
  5. Step 5: Solve for x
    x = 742,179,302.96/30,857.68
  6. Step 6: Final answer
    x = 24,051.69

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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.