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Finding the Fourth Proportional to 13,473.69, 20,214.75 and 6,904.50

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Solution

The fourth proportional to 13,473.69, 20,214.75 and 6,904.50 is: 10,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.69 : 20,214.75 = 6,904.50 : x
  2. Step 2: Convert to fraction form
    13,473.69/20,214.75 = 6,904.50/x
  3. Step 3: Cross multiply
    13,473.69x = 20,214.75 × 6,904.50
  4. Step 4: Simplify right side
    13,473.69x = 139,572,741.38
  5. Step 5: Solve for x
    x = 139,572,741.38/13,473.69
  6. Step 6: Final answer
    x = 10,358.91

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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.