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Finding the Fourth Proportional to 12,097.41, 16,653.47 and 10,409.01

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Solution

The fourth proportional to 12,097.41, 16,653.47 and 10,409.01 is: 14,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.41 : 16,653.47 = 10,409.01 : x
  2. Step 2: Convert to fraction form
    12,097.41/16,653.47 = 10,409.01/x
  3. Step 3: Cross multiply
    12,097.41x = 16,653.47 × 10,409.01
  4. Step 4: Simplify right side
    12,097.41x = 173,346,083.72
  5. Step 5: Solve for x
    x = 173,346,083.72/12,097.41
  6. Step 6: Final answer
    x = 14,329.19

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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.