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Finding the Fourth Proportional to 13,448.64, 18,562.08 and 7,787.28

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Solution

The fourth proportional to 13,448.64, 18,562.08 and 7,787.28 is: 10,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.64 : 18,562.08 = 7,787.28 : x
  2. Step 2: Convert to fraction form
    13,448.64/18,562.08 = 7,787.28/x
  3. Step 3: Cross multiply
    13,448.64x = 18,562.08 × 7,787.28
  4. Step 4: Simplify right side
    13,448.64x = 144,548,114.34
  5. Step 5: Solve for x
    x = 144,548,114.34/13,448.64
  6. Step 6: Final answer
    x = 10,748.16

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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.