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Finding the Fourth Proportional to 14,114.02, 19,478.23 and 7,826.40

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Solution

The fourth proportional to 14,114.02, 19,478.23 and 7,826.40 is: 10,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.02 : 19,478.23 = 7,826.40 : x
  2. Step 2: Convert to fraction form
    14,114.02/19,478.23 = 7,826.40/x
  3. Step 3: Cross multiply
    14,114.02x = 19,478.23 × 7,826.40
  4. Step 4: Simplify right side
    14,114.02x = 152,444,419.27
  5. Step 5: Solve for x
    x = 152,444,419.27/14,114.02
  6. Step 6: Final answer
    x = 10,800.92

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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.