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Finding the Fourth Proportional to 13,285.76, 18,317.76 and 11,177.60

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Solution

The fourth proportional to 13,285.76, 18,317.76 and 11,177.60 is: 15,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.76 : 18,317.76 = 11,177.60 : x
  2. Step 2: Convert to fraction form
    13,285.76/18,317.76 = 11,177.60/x
  3. Step 3: Cross multiply
    13,285.76x = 18,317.76 × 11,177.60
  4. Step 4: Simplify right side
    13,285.76x = 204,748,594.18
  5. Step 5: Solve for x
    x = 204,748,594.18/13,285.76
  6. Step 6: Final answer
    x = 15,411.13

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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.