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Finding the Fourth Proportional to 15,505.95, 21,406.32 and 10,209.18

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Solution

The fourth proportional to 15,505.95, 21,406.32 and 10,209.18 is: 14,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.95 : 21,406.32 = 10,209.18 : x
  2. Step 2: Convert to fraction form
    15,505.95/21,406.32 = 10,209.18/x
  3. Step 3: Cross multiply
    15,505.95x = 21,406.32 × 10,209.18
  4. Step 4: Simplify right side
    15,505.95x = 218,540,974.02
  5. Step 5: Solve for x
    x = 218,540,974.02/15,505.95
  6. Step 6: Final answer
    x = 14,094.01

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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.