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Finding the Fourth Proportional to 17,810.40, 24,578.52 and 9,852.48

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Solution

The fourth proportional to 17,810.40, 24,578.52 and 9,852.48 is: 13,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.40 : 24,578.52 = 9,852.48 : x
  2. Step 2: Convert to fraction form
    17,810.40/24,578.52 = 9,852.48/x
  3. Step 3: Cross multiply
    17,810.40x = 24,578.52 × 9,852.48
  4. Step 4: Simplify right side
    17,810.40x = 242,159,376.73
  5. Step 5: Solve for x
    x = 242,159,376.73/17,810.40
  6. Step 6: Final answer
    x = 13,596.52

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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.