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Finding the Fourth Proportional to 17,774.30, 24,528.39 and 9,817.07

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Solution

The fourth proportional to 17,774.30, 24,528.39 and 9,817.07 is: 13,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.30 : 24,528.39 = 9,817.07 : x
  2. Step 2: Convert to fraction form
    17,774.30/24,528.39 = 9,817.07/x
  3. Step 3: Cross multiply
    17,774.30x = 24,528.39 × 9,817.07
  4. Step 4: Simplify right side
    17,774.30x = 240,796,921.62
  5. Step 5: Solve for x
    x = 240,796,921.62/17,774.30
  6. Step 6: Final answer
    x = 13,547.48

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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.