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Finding the Fourth Proportional to 17,102.72, 25,657.68 and 9,710.60

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Solution

The fourth proportional to 17,102.72, 25,657.68 and 9,710.60 is: 14,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.72 : 25,657.68 = 9,710.60 : x
  2. Step 2: Convert to fraction form
    17,102.72/25,657.68 = 9,710.60/x
  3. Step 3: Cross multiply
    17,102.72x = 25,657.68 × 9,710.60
  4. Step 4: Simplify right side
    17,102.72x = 249,151,467.41
  5. Step 5: Solve for x
    x = 249,151,467.41/17,102.72
  6. Step 6: Final answer
    x = 14,567.94

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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.