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Finding the Fourth Proportional to 14,089.86, 19,429.80 and 10,313.64

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Solution

The fourth proportional to 14,089.86, 19,429.80 and 10,313.64 is: 14,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.86 : 19,429.80 = 10,313.64 : x
  2. Step 2: Convert to fraction form
    14,089.86/19,429.80 = 10,313.64/x
  3. Step 3: Cross multiply
    14,089.86x = 19,429.80 × 10,313.64
  4. Step 4: Simplify right side
    14,089.86x = 200,391,962.47
  5. Step 5: Solve for x
    x = 200,391,962.47/14,089.86
  6. Step 6: Final answer
    x = 14,222.42

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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.