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Finding the Fourth Proportional to 17,071.72, 25,607.28 and 6,538.89

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Solution

The fourth proportional to 17,071.72, 25,607.28 and 6,538.89 is: 9,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.72 : 25,607.28 = 6,538.89 : x
  2. Step 2: Convert to fraction form
    17,071.72/25,607.28 = 6,538.89/x
  3. Step 3: Cross multiply
    17,071.72x = 25,607.28 × 6,538.89
  4. Step 4: Simplify right side
    17,071.72x = 167,443,106.75
  5. Step 5: Solve for x
    x = 167,443,106.75/17,071.72
  6. Step 6: Final answer
    x = 9,808.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.