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Finding the Fourth Proportional to 17,774.98, 24,529.39 and 9,817.17

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Solution

The fourth proportional to 17,774.98, 24,529.39 and 9,817.17 is: 13,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.98 : 24,529.39 = 9,817.17 : x
  2. Step 2: Convert to fraction form
    17,774.98/24,529.39 = 9,817.17/x
  3. Step 3: Cross multiply
    17,774.98x = 24,529.39 × 9,817.17
  4. Step 4: Simplify right side
    17,774.98x = 240,809,191.63
  5. Step 5: Solve for x
    x = 240,809,191.63/17,774.98
  6. Step 6: Final answer
    x = 13,547.65

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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.