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Finding the Fourth Proportional to 23,111.42, 34,674.08 and 9,777.53

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Solution

The fourth proportional to 23,111.42, 34,674.08 and 9,777.53 is: 14,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.42 : 34,674.08 = 9,777.53 : x
  2. Step 2: Convert to fraction form
    23,111.42/34,674.08 = 9,777.53/x
  3. Step 3: Cross multiply
    23,111.42x = 34,674.08 × 9,777.53
  4. Step 4: Simplify right side
    23,111.42x = 339,026,895.22
  5. Step 5: Solve for x
    x = 339,026,895.22/23,111.42
  6. Step 6: Final answer
    x = 14,669.24

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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.