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Finding the Fourth Proportional to 17,996.42, 24,835.02 and 10,038.17

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Solution

The fourth proportional to 17,996.42, 24,835.02 and 10,038.17 is: 13,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996.42 : 24,835.02 = 10,038.17 : x
  2. Step 2: Convert to fraction form
    17,996.42/24,835.02 = 10,038.17/x
  3. Step 3: Cross multiply
    17,996.42x = 24,835.02 × 10,038.17
  4. Step 4: Simplify right side
    17,996.42x = 249,298,028.54
  5. Step 5: Solve for x
    x = 249,298,028.54/17,996.42
  6. Step 6: Final answer
    x = 13,852.65

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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.