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Finding the Fourth Proportional to 17,762.29, 24,511.83 and 9,804.52

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Solution

The fourth proportional to 17,762.29, 24,511.83 and 9,804.52 is: 13,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.29 : 24,511.83 = 9,804.52 : x
  2. Step 2: Convert to fraction form
    17,762.29/24,511.83 = 9,804.52/x
  3. Step 3: Cross multiply
    17,762.29x = 24,511.83 × 9,804.52
  4. Step 4: Simplify right side
    17,762.29x = 240,326,727.47
  5. Step 5: Solve for x
    x = 240,326,727.47/17,762.29
  6. Step 6: Final answer
    x = 13,530.17

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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.