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Finding the Fourth Proportional to 17,488, 24,133.68 and 10,036

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Solution

The fourth proportional to 17,488, 24,133.68 and 10,036 is: 13,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488 : 24,133.68 = 10,036 : x
  2. Step 2: Convert to fraction form
    17,488/24,133.68 = 10,036/x
  3. Step 3: Cross multiply
    17,488x = 24,133.68 × 10,036
  4. Step 4: Simplify right side
    17,488x = 242,205,612.48
  5. Step 5: Solve for x
    x = 242,205,612.48/17,488
  6. Step 6: Final answer
    x = 13,849.82

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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.