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Finding the Fourth Proportional to 28,596.16, 39,464.56 and 16,024.96

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Solution

The fourth proportional to 28,596.16, 39,464.56 and 16,024.96 is: 22,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.16 : 39,464.56 = 16,024.96 : x
  2. Step 2: Convert to fraction form
    28,596.16/39,464.56 = 16,024.96/x
  3. Step 3: Cross multiply
    28,596.16x = 39,464.56 × 16,024.96
  4. Step 4: Simplify right side
    28,596.16x = 632,417,995.42
  5. Step 5: Solve for x
    x = 632,417,995.42/28,596.16
  6. Step 6: Final answer
    x = 22,115.49

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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.