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Finding the Fourth Proportional to 17,740.98, 24,482.07 and 9,783.06

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Solution

The fourth proportional to 17,740.98, 24,482.07 and 9,783.06 is: 13,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.98 : 24,482.07 = 9,783.06 : x
  2. Step 2: Convert to fraction form
    17,740.98/24,482.07 = 9,783.06/x
  3. Step 3: Cross multiply
    17,740.98x = 24,482.07 × 9,783.06
  4. Step 4: Simplify right side
    17,740.98x = 239,509,559.73
  5. Step 5: Solve for x
    x = 239,509,559.73/17,740.98
  6. Step 6: Final answer
    x = 13,500.36

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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.