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Finding the Fourth Proportional to 13,876.80, 19,152.24 and 10,315.40

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Solution

The fourth proportional to 13,876.80, 19,152.24 and 10,315.40 is: 14,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.80 : 19,152.24 = 10,315.40 : x
  2. Step 2: Convert to fraction form
    13,876.80/19,152.24 = 10,315.40/x
  3. Step 3: Cross multiply
    13,876.80x = 19,152.24 × 10,315.40
  4. Step 4: Simplify right side
    13,876.80x = 197,562,964.92
  5. Step 5: Solve for x
    x = 197,562,964.92/13,876.80
  6. Step 6: Final answer
    x = 14,236.93

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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.