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Finding the Fourth Proportional to 14,106.80, 19,465.62 and 7,817.96

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Solution

The fourth proportional to 14,106.80, 19,465.62 and 7,817.96 is: 10,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.80 : 19,465.62 = 7,817.96 : x
  2. Step 2: Convert to fraction form
    14,106.80/19,465.62 = 7,817.96/x
  3. Step 3: Cross multiply
    14,106.80x = 19,465.62 × 7,817.96
  4. Step 4: Simplify right side
    14,106.80x = 152,181,341.21
  5. Step 5: Solve for x
    x = 152,181,341.21/14,106.80
  6. Step 6: Final answer
    x = 10,787.80

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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.