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Finding the Fourth Proportional to 17,635.51, 24,337.71 and 9,678.02

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Solution

The fourth proportional to 17,635.51, 24,337.71 and 9,678.02 is: 13,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.51 : 24,337.71 = 9,678.02 : x
  2. Step 2: Convert to fraction form
    17,635.51/24,337.71 = 9,678.02/x
  3. Step 3: Cross multiply
    17,635.51x = 24,337.71 × 9,678.02
  4. Step 4: Simplify right side
    17,635.51x = 235,540,859.35
  5. Step 5: Solve for x
    x = 235,540,859.35/17,635.51
  6. Step 6: Final answer
    x = 13,356.06

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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.