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Finding the Fourth Proportional to 17,774.36, 24,528.48 and 9,816.92

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Solution

The fourth proportional to 17,774.36, 24,528.48 and 9,816.92 is: 13,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.36 : 24,528.48 = 9,816.92 : x
  2. Step 2: Convert to fraction form
    17,774.36/24,528.48 = 9,816.92/x
  3. Step 3: Cross multiply
    17,774.36x = 24,528.48 × 9,816.92
  4. Step 4: Simplify right side
    17,774.36x = 240,794,125.88
  5. Step 5: Solve for x
    x = 240,794,125.88/17,774.36
  6. Step 6: Final answer
    x = 13,547.27

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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.