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Finding the Fourth Proportional to 17,657.46, 24,368.99 and 10,102.29

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Solution

The fourth proportional to 17,657.46, 24,368.99 and 10,102.29 is: 13,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.46 : 24,368.99 = 10,102.29 : x
  2. Step 2: Convert to fraction form
    17,657.46/24,368.99 = 10,102.29/x
  3. Step 3: Cross multiply
    17,657.46x = 24,368.99 × 10,102.29
  4. Step 4: Simplify right side
    17,657.46x = 246,182,603.99
  5. Step 5: Solve for x
    x = 246,182,603.99/17,657.46
  6. Step 6: Final answer
    x = 13,942.13

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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.