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Finding the Fourth Proportional to 16,587.42, 22,889.71 and 9,415.43

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Solution

The fourth proportional to 16,587.42, 22,889.71 and 9,415.43 is: 12,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587.42 : 22,889.71 = 9,415.43 : x
  2. Step 2: Convert to fraction form
    16,587.42/22,889.71 = 9,415.43/x
  3. Step 3: Cross multiply
    16,587.42x = 22,889.71 × 9,415.43
  4. Step 4: Simplify right side
    16,587.42x = 215,516,462.23
  5. Step 5: Solve for x
    x = 215,516,462.23/16,587.42
  6. Step 6: Final answer
    x = 12,992.77

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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.