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Finding the Fourth Proportional to 21,407.94, 32,115.51 and 7,367.40

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Solution

The fourth proportional to 21,407.94, 32,115.51 and 7,367.40 is: 11,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.94 : 32,115.51 = 7,367.40 : x
  2. Step 2: Convert to fraction form
    21,407.94/32,115.51 = 7,367.40/x
  3. Step 3: Cross multiply
    21,407.94x = 32,115.51 × 7,367.40
  4. Step 4: Simplify right side
    21,407.94x = 236,607,808.37
  5. Step 5: Solve for x
    x = 236,607,808.37/21,407.94
  6. Step 6: Final answer
    x = 11,052.34

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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.