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Finding the Fourth Proportional to 30,654.40, 42,303.12 and 17,916.48

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Solution

The fourth proportional to 30,654.40, 42,303.12 and 17,916.48 is: 24,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654.40 : 42,303.12 = 17,916.48 : x
  2. Step 2: Convert to fraction form
    30,654.40/42,303.12 = 17,916.48/x
  3. Step 3: Cross multiply
    30,654.40x = 42,303.12 × 17,916.48
  4. Step 4: Simplify right side
    30,654.40x = 757,923,003.42
  5. Step 5: Solve for x
    x = 757,923,003.42/30,654.40
  6. Step 6: Final answer
    x = 24,724.77

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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.