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Finding the Fourth Proportional to 25,097.64, 34,632.86 and 13,765.32

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Solution

The fourth proportional to 25,097.64, 34,632.86 and 13,765.32 is: 18,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.64 : 34,632.86 = 13,765.32 : x
  2. Step 2: Convert to fraction form
    25,097.64/34,632.86 = 13,765.32/x
  3. Step 3: Cross multiply
    25,097.64x = 34,632.86 × 13,765.32
  4. Step 4: Simplify right side
    25,097.64x = 476,732,400.42
  5. Step 5: Solve for x
    x = 476,732,400.42/25,097.64
  6. Step 6: Final answer
    x = 18,995.11

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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.