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Finding the Fourth Proportional to 14,114.60, 19,479.30 and 7,829

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Solution

The fourth proportional to 14,114.60, 19,479.30 and 7,829 is: 10,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.60 : 19,479.30 = 7,829 : x
  2. Step 2: Convert to fraction form
    14,114.60/19,479.30 = 7,829/x
  3. Step 3: Cross multiply
    14,114.60x = 19,479.30 × 7,829
  4. Step 4: Simplify right side
    14,114.60x = 152,503,439.70
  5. Step 5: Solve for x
    x = 152,503,439.70/14,114.60
  6. Step 6: Final answer
    x = 10,804.66

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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.