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Finding the Fourth Proportional to 12,688.86, 17,509.10 and 7,384.62

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Solution

The fourth proportional to 12,688.86, 17,509.10 and 7,384.62 is: 10,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.86 : 17,509.10 = 7,384.62 : x
  2. Step 2: Convert to fraction form
    12,688.86/17,509.10 = 7,384.62/x
  3. Step 3: Cross multiply
    12,688.86x = 17,509.10 × 7,384.62
  4. Step 4: Simplify right side
    12,688.86x = 129,298,050.04
  5. Step 5: Solve for x
    x = 129,298,050.04/12,688.86
  6. Step 6: Final answer
    x = 10,189.89

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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.