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Finding the Fourth Proportional to 13,280.64, 18,328.32 and 7,977.60

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Solution

The fourth proportional to 13,280.64, 18,328.32 and 7,977.60 is: 11,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280.64 : 18,328.32 = 7,977.60 : x
  2. Step 2: Convert to fraction form
    13,280.64/18,328.32 = 7,977.60/x
  3. Step 3: Cross multiply
    13,280.64x = 18,328.32 × 7,977.60
  4. Step 4: Simplify right side
    13,280.64x = 146,216,005.63
  5. Step 5: Solve for x
    x = 146,216,005.63/13,280.64
  6. Step 6: Final answer
    x = 11,009.71

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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.