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Finding the Fourth Proportional to 12,635.92, 17,430.96 and 9,646.57

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Solution

The fourth proportional to 12,635.92, 17,430.96 and 9,646.57 is: 13,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.92 : 17,430.96 = 9,646.57 : x
  2. Step 2: Convert to fraction form
    12,635.92/17,430.96 = 9,646.57/x
  3. Step 3: Cross multiply
    12,635.92x = 17,430.96 × 9,646.57
  4. Step 4: Simplify right side
    12,635.92x = 168,148,975.81
  5. Step 5: Solve for x
    x = 168,148,975.81/12,635.92
  6. Step 6: Final answer
    x = 13,307.22

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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.