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Finding the Fourth Proportional to 30,656.86, 42,318.02 and 17,914.18

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Solution

The fourth proportional to 30,656.86, 42,318.02 and 17,914.18 is: 24,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.86 : 42,318.02 = 17,914.18 : x
  2. Step 2: Convert to fraction form
    30,656.86/42,318.02 = 17,914.18/x
  3. Step 3: Cross multiply
    30,656.86x = 42,318.02 × 17,914.18
  4. Step 4: Simplify right side
    30,656.86x = 758,092,566.51
  5. Step 5: Solve for x
    x = 758,092,566.51/30,656.86
  6. Step 6: Final answer
    x = 24,728.32

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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.