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Finding the Fourth Proportional to 14,114.49, 19,478.06 and 7,826.86

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Solution

The fourth proportional to 14,114.49, 19,478.06 and 7,826.86 is: 10,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.49 : 19,478.06 = 7,826.86 : x
  2. Step 2: Convert to fraction form
    14,114.49/19,478.06 = 7,826.86/x
  3. Step 3: Cross multiply
    14,114.49x = 19,478.06 × 7,826.86
  4. Step 4: Simplify right side
    14,114.49x = 152,452,048.69
  5. Step 5: Solve for x
    x = 152,452,048.69/14,114.49
  6. Step 6: Final answer
    x = 10,801.10

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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.