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Finding the Fourth Proportional to 17,810.50, 24,578.46 and 9,852.52

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Solution

The fourth proportional to 17,810.50, 24,578.46 and 9,852.52 is: 13,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.50 : 24,578.46 = 9,852.52 : x
  2. Step 2: Convert to fraction form
    17,810.50/24,578.46 = 9,852.52/x
  3. Step 3: Cross multiply
    17,810.50x = 24,578.46 × 9,852.52
  4. Step 4: Simplify right side
    17,810.50x = 242,159,768.72
  5. Step 5: Solve for x
    x = 242,159,768.72/17,810.50
  6. Step 6: Final answer
    x = 13,596.46

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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.