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Finding the Fourth Proportional to 13,060.68, 19,582.80 and 5,659.50

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Solution

The fourth proportional to 13,060.68, 19,582.80 and 5,659.50 is: 8,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.68 : 19,582.80 = 5,659.50 : x
  2. Step 2: Convert to fraction form
    13,060.68/19,582.80 = 5,659.50/x
  3. Step 3: Cross multiply
    13,060.68x = 19,582.80 × 5,659.50
  4. Step 4: Simplify right side
    13,060.68x = 110,828,856.60
  5. Step 5: Solve for x
    x = 110,828,856.60/13,060.68
  6. Step 6: Final answer
    x = 8,485.69

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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.