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Finding the Fourth Proportional to 29,402, 40,577.32 and 16,156.56

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Solution

The fourth proportional to 29,402, 40,577.32 and 16,156.56 is: 22,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,402 : 40,577.32 = 16,156.56 : x
  2. Step 2: Convert to fraction form
    29,402/40,577.32 = 16,156.56/x
  3. Step 3: Cross multiply
    29,402x = 40,577.32 × 16,156.56
  4. Step 4: Simplify right side
    29,402x = 655,589,905.22
  5. Step 5: Solve for x
    x = 655,589,905.22/29,402
  6. Step 6: Final answer
    x = 22,297.46

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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.