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Finding the Fourth Proportional to 30,126.53, 41,565.10 and 17,378.00

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Solution

The fourth proportional to 30,126.53, 41,565.10 and 17,378.00 is: 23,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126.53 : 41,565.10 = 17,378.00 : x
  2. Step 2: Convert to fraction form
    30,126.53/41,565.10 = 17,378.00/x
  3. Step 3: Cross multiply
    30,126.53x = 41,565.10 × 17,378.00
  4. Step 4: Simplify right side
    30,126.53x = 722,318,056.53
  5. Step 5: Solve for x
    x = 722,318,056.53/30,126.53
  6. Step 6: Final answer
    x = 23,976.15

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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.