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Finding the Fourth Proportional to 17,774.66, 24,527.79 and 9,816.26

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Solution

The fourth proportional to 17,774.66, 24,527.79 and 9,816.26 is: 13,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.66 : 24,527.79 = 9,816.26 : x
  2. Step 2: Convert to fraction form
    17,774.66/24,527.79 = 9,816.26/x
  3. Step 3: Cross multiply
    17,774.66x = 24,527.79 × 9,816.26
  4. Step 4: Simplify right side
    17,774.66x = 240,771,041.23
  5. Step 5: Solve for x
    x = 240,771,041.23/17,774.66
  6. Step 6: Final answer
    x = 13,545.74

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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.