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Finding the Fourth Proportional to 10,804.42, 16,178.58 and 9,254.40

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Solution

The fourth proportional to 10,804.42, 16,178.58 and 9,254.40 is: 13,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.42 : 16,178.58 = 9,254.40 : x
  2. Step 2: Convert to fraction form
    10,804.42/16,178.58 = 9,254.40/x
  3. Step 3: Cross multiply
    10,804.42x = 16,178.58 × 9,254.40
  4. Step 4: Simplify right side
    10,804.42x = 149,723,050.75
  5. Step 5: Solve for x
    x = 149,723,050.75/10,804.42
  6. Step 6: Final answer
    x = 13,857.57

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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.