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Finding the Fourth Proportional to 13,598.69, 18,767.50 and 8,298.86

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Solution

The fourth proportional to 13,598.69, 18,767.50 and 8,298.86 is: 11,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.69 : 18,767.50 = 8,298.86 : x
  2. Step 2: Convert to fraction form
    13,598.69/18,767.50 = 8,298.86/x
  3. Step 3: Cross multiply
    13,598.69x = 18,767.50 × 8,298.86
  4. Step 4: Simplify right side
    13,598.69x = 155,748,740.47
  5. Step 5: Solve for x
    x = 155,748,740.47/13,598.69
  6. Step 6: Final answer
    x = 11,453.22

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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.