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Finding the Fourth Proportional to 30,776.16, 42,463.53 and 17,347.44

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Solution

The fourth proportional to 30,776.16, 42,463.53 and 17,347.44 is: 23,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.16 : 42,463.53 = 17,347.44 : x
  2. Step 2: Convert to fraction form
    30,776.16/42,463.53 = 17,347.44/x
  3. Step 3: Cross multiply
    30,776.16x = 42,463.53 × 17,347.44
  4. Step 4: Simplify right side
    30,776.16x = 736,633,538.86
  5. Step 5: Solve for x
    x = 736,633,538.86/30,776.16
  6. Step 6: Final answer
    x = 23,935.20

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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.