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Finding the Fourth Proportional to 14,436.18, 19,922 and 7,812.18

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Solution

The fourth proportional to 14,436.18, 19,922 and 7,812.18 is: 10,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436.18 : 19,922 = 7,812.18 : x
  2. Step 2: Convert to fraction form
    14,436.18/19,922 = 7,812.18/x
  3. Step 3: Cross multiply
    14,436.18x = 19,922 × 7,812.18
  4. Step 4: Simplify right side
    14,436.18x = 155,634,249.96
  5. Step 5: Solve for x
    x = 155,634,249.96/14,436.18
  6. Step 6: Final answer
    x = 10,780.85

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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.