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Finding the Fourth Proportional to 17,095.69, 25,646.86 and 6,564.94

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Solution

The fourth proportional to 17,095.69, 25,646.86 and 6,564.94 is: 9,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.69 : 25,646.86 = 6,564.94 : x
  2. Step 2: Convert to fraction form
    17,095.69/25,646.86 = 6,564.94/x
  3. Step 3: Cross multiply
    17,095.69x = 25,646.86 × 6,564.94
  4. Step 4: Simplify right side
    17,095.69x = 168,369,984.34
  5. Step 5: Solve for x
    x = 168,369,984.34/17,095.69
  6. Step 6: Final answer
    x = 9,848.68

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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.