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Finding the Fourth Proportional to 16,402.88, 22,637.79 and 9,233.01

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Solution

The fourth proportional to 16,402.88, 22,637.79 and 9,233.01 is: 12,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.88 : 22,637.79 = 9,233.01 : x
  2. Step 2: Convert to fraction form
    16,402.88/22,637.79 = 9,233.01/x
  3. Step 3: Cross multiply
    16,402.88x = 22,637.79 × 9,233.01
  4. Step 4: Simplify right side
    16,402.88x = 209,015,026.34
  5. Step 5: Solve for x
    x = 209,015,026.34/16,402.88
  6. Step 6: Final answer
    x = 12,742.58

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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.