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Finding the Fourth Proportional to 25,402.86, 35,056.02 and 14,224.86

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Solution

The fourth proportional to 25,402.86, 35,056.02 and 14,224.86 is: 19,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402.86 : 35,056.02 = 14,224.86 : x
  2. Step 2: Convert to fraction form
    25,402.86/35,056.02 = 14,224.86/x
  3. Step 3: Cross multiply
    25,402.86x = 35,056.02 × 14,224.86
  4. Step 4: Simplify right side
    25,402.86x = 498,666,976.66
  5. Step 5: Solve for x
    x = 498,666,976.66/25,402.86
  6. Step 6: Final answer
    x = 19,630.35

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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.