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Finding the Fourth Proportional to 30,784.30, 42,484.53 and 17,356.81

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Solution

The fourth proportional to 30,784.30, 42,484.53 and 17,356.81 is: 23,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.30 : 42,484.53 = 17,356.81 : x
  2. Step 2: Convert to fraction form
    30,784.30/42,484.53 = 17,356.81/x
  3. Step 3: Cross multiply
    30,784.30x = 42,484.53 × 17,356.81
  4. Step 4: Simplify right side
    30,784.30x = 737,395,687.75
  5. Step 5: Solve for x
    x = 737,395,687.75/30,784.30
  6. Step 6: Final answer
    x = 23,953.63

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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.