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Finding the Fourth Proportional to 17,312.96, 23,890.74 and 10,141.76

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Solution

The fourth proportional to 17,312.96, 23,890.74 and 10,141.76 is: 13,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.96 : 23,890.74 = 10,141.76 : x
  2. Step 2: Convert to fraction form
    17,312.96/23,890.74 = 10,141.76/x
  3. Step 3: Cross multiply
    17,312.96x = 23,890.74 × 10,141.76
  4. Step 4: Simplify right side
    17,312.96x = 242,294,151.30
  5. Step 5: Solve for x
    x = 242,294,151.30/17,312.96
  6. Step 6: Final answer
    x = 13,994.96

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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.