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Finding the Fourth Proportional to 17,740.86, 24,482.56 and 9,782.88

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Solution

The fourth proportional to 17,740.86, 24,482.56 and 9,782.88 is: 13,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.86 : 24,482.56 = 9,782.88 : x
  2. Step 2: Convert to fraction form
    17,740.86/24,482.56 = 9,782.88/x
  3. Step 3: Cross multiply
    17,740.86x = 24,482.56 × 9,782.88
  4. Step 4: Simplify right side
    17,740.86x = 239,509,946.57
  5. Step 5: Solve for x
    x = 239,509,946.57/17,740.86
  6. Step 6: Final answer
    x = 13,500.47

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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.