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Finding the Fourth Proportional to 14,313.81, 19,732.29 and 10,051.89

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Solution

The fourth proportional to 14,313.81, 19,732.29 and 10,051.89 is: 13,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.81 : 19,732.29 = 10,051.89 : x
  2. Step 2: Convert to fraction form
    14,313.81/19,732.29 = 10,051.89/x
  3. Step 3: Cross multiply
    14,313.81x = 19,732.29 × 10,051.89
  4. Step 4: Simplify right side
    14,313.81x = 198,346,808.53
  5. Step 5: Solve for x
    x = 198,346,808.53/14,313.81
  6. Step 6: Final answer
    x = 13,857.02

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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.