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Finding the Fourth Proportional to 11,678.58, 16,030.71 and 10,322.64

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Solution

The fourth proportional to 11,678.58, 16,030.71 and 10,322.64 is: 14,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.58 : 16,030.71 = 10,322.64 : x
  2. Step 2: Convert to fraction form
    11,678.58/16,030.71 = 10,322.64/x
  3. Step 3: Cross multiply
    11,678.58x = 16,030.71 × 10,322.64
  4. Step 4: Simplify right side
    11,678.58x = 165,479,248.27
  5. Step 5: Solve for x
    x = 165,479,248.27/11,678.58
  6. Step 6: Final answer
    x = 14,169.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.