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Finding the Fourth Proportional to 17,696.16, 24,415.20 and 10,038.17

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Solution

The fourth proportional to 17,696.16, 24,415.20 and 10,038.17 is: 13,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.16 : 24,415.20 = 10,038.17 : x
  2. Step 2: Convert to fraction form
    17,696.16/24,415.20 = 10,038.17/x
  3. Step 3: Cross multiply
    17,696.16x = 24,415.20 × 10,038.17
  4. Step 4: Simplify right side
    17,696.16x = 245,084,065.90
  5. Step 5: Solve for x
    x = 245,084,065.90/17,696.16
  6. Step 6: Final answer
    x = 13,849.56

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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.