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Finding the Fourth Proportional to 18,205.86, 25,125.36 and 10,140.16

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Solution

The fourth proportional to 18,205.86, 25,125.36 and 10,140.16 is: 13,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.86 : 25,125.36 = 10,140.16 : x
  2. Step 2: Convert to fraction form
    18,205.86/25,125.36 = 10,140.16/x
  3. Step 3: Cross multiply
    18,205.86x = 25,125.36 × 10,140.16
  4. Step 4: Simplify right side
    18,205.86x = 254,775,272.95
  5. Step 5: Solve for x
    x = 254,775,272.95/18,205.86
  6. Step 6: Final answer
    x = 13,994.13

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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.