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Finding the Fourth Proportional to 25,835.40, 35,652.86 and 14,503.32

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Solution

The fourth proportional to 25,835.40, 35,652.86 and 14,503.32 is: 20,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,835.40 : 35,652.86 = 14,503.32 : x
  2. Step 2: Convert to fraction form
    25,835.40/35,652.86 = 14,503.32/x
  3. Step 3: Cross multiply
    25,835.40x = 35,652.86 × 14,503.32
  4. Step 4: Simplify right side
    25,835.40x = 517,084,837.50
  5. Step 5: Solve for x
    x = 517,084,837.50/25,835.40
  6. Step 6: Final answer
    x = 20,014.59

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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.