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Finding the Fourth Proportional to 28,421.76, 42,633 and 10,892.64

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Solution

The fourth proportional to 28,421.76, 42,633 and 10,892.64 is: 16,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,421.76 : 42,633 = 10,892.64 : x
  2. Step 2: Convert to fraction form
    28,421.76/42,633 = 10,892.64/x
  3. Step 3: Cross multiply
    28,421.76x = 42,633 × 10,892.64
  4. Step 4: Simplify right side
    28,421.76x = 464,385,921.12
  5. Step 5: Solve for x
    x = 464,385,921.12/28,421.76
  6. Step 6: Final answer
    x = 16,339.10

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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.