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Finding the Fourth Proportional to 17,810.46, 24,578.73 and 9,852.21

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Solution

The fourth proportional to 17,810.46, 24,578.73 and 9,852.21 is: 13,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.46 : 24,578.73 = 9,852.21 : x
  2. Step 2: Convert to fraction form
    17,810.46/24,578.73 = 9,852.21/x
  3. Step 3: Cross multiply
    17,810.46x = 24,578.73 × 9,852.21
  4. Step 4: Simplify right side
    17,810.46x = 242,154,809.49
  5. Step 5: Solve for x
    x = 242,154,809.49/17,810.46
  6. Step 6: Final answer
    x = 13,596.21

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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.