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Finding the Fourth Proportional to 13,656.79, 20,490.08 and 5,342.77

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Solution

The fourth proportional to 13,656.79, 20,490.08 and 5,342.77 is: 8,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.79 : 20,490.08 = 5,342.77 : x
  2. Step 2: Convert to fraction form
    13,656.79/20,490.08 = 5,342.77/x
  3. Step 3: Cross multiply
    13,656.79x = 20,490.08 × 5,342.77
  4. Step 4: Simplify right side
    13,656.79x = 109,473,784.72
  5. Step 5: Solve for x
    x = 109,473,784.72/13,656.79
  6. Step 6: Final answer
    x = 8,016.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.