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Finding the Fourth Proportional to 13,648.64, 18,827.76 and 9,119.12

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Solution

The fourth proportional to 13,648.64, 18,827.76 and 9,119.12 is: 12,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.64 : 18,827.76 = 9,119.12 : x
  2. Step 2: Convert to fraction form
    13,648.64/18,827.76 = 9,119.12/x
  3. Step 3: Cross multiply
    13,648.64x = 18,827.76 × 9,119.12
  4. Step 4: Simplify right side
    13,648.64x = 171,692,602.77
  5. Step 5: Solve for x
    x = 171,692,602.77/13,648.64
  6. Step 6: Final answer
    x = 12,579.47

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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.