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Finding the Fourth Proportional to 17,470, 24,109.32 and 10,018

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Solution

The fourth proportional to 17,470, 24,109.32 and 10,018 is: 13,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470 : 24,109.32 = 10,018 : x
  2. Step 2: Convert to fraction form
    17,470/24,109.32 = 10,018/x
  3. Step 3: Cross multiply
    17,470x = 24,109.32 × 10,018
  4. Step 4: Simplify right side
    17,470x = 241,527,167.76
  5. Step 5: Solve for x
    x = 241,527,167.76/17,470
  6. Step 6: Final answer
    x = 13,825.25

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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.