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Finding the Fourth Proportional to 25,780.05, 38,674.08 and 10,989

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Solution

The fourth proportional to 25,780.05, 38,674.08 and 10,989 is: 16,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.05 : 38,674.08 = 10,989 : x
  2. Step 2: Convert to fraction form
    25,780.05/38,674.08 = 10,989/x
  3. Step 3: Cross multiply
    25,780.05x = 38,674.08 × 10,989
  4. Step 4: Simplify right side
    25,780.05x = 424,989,465.12
  5. Step 5: Solve for x
    x = 424,989,465.12/25,780.05
  6. Step 6: Final answer
    x = 16,485.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.