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Finding the Fourth Proportional to 13,547.85, 18,657.03 and 11,168.12

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Solution

The fourth proportional to 13,547.85, 18,657.03 and 11,168.12 is: 15,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.85 : 18,657.03 = 11,168.12 : x
  2. Step 2: Convert to fraction form
    13,547.85/18,657.03 = 11,168.12/x
  3. Step 3: Cross multiply
    13,547.85x = 18,657.03 × 11,168.12
  4. Step 4: Simplify right side
    13,547.85x = 208,363,856.60
  5. Step 5: Solve for x
    x = 208,363,856.60/13,547.85
  6. Step 6: Final answer
    x = 15,379.85

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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.