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Finding the Fourth Proportional to 16,157.23, 24,239.71 and 7,827.51

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Solution

The fourth proportional to 16,157.23, 24,239.71 and 7,827.51 is: 11,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.23 : 24,239.71 = 7,827.51 : x
  2. Step 2: Convert to fraction form
    16,157.23/24,239.71 = 7,827.51/x
  3. Step 3: Cross multiply
    16,157.23x = 24,239.71 × 7,827.51
  4. Step 4: Simplify right side
    16,157.23x = 189,736,673.11
  5. Step 5: Solve for x
    x = 189,736,673.11/16,157.23
  6. Step 6: Final answer
    x = 11,743.15

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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.