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Finding the Fourth Proportional to 13,003.50, 19,489.58 and 5,973.80

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Solution

The fourth proportional to 13,003.50, 19,489.58 and 5,973.80 is: 8,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.50 : 19,489.58 = 5,973.80 : x
  2. Step 2: Convert to fraction form
    13,003.50/19,489.58 = 5,973.80/x
  3. Step 3: Cross multiply
    13,003.50x = 19,489.58 × 5,973.80
  4. Step 4: Simplify right side
    13,003.50x = 116,426,853.00
  5. Step 5: Solve for x
    x = 116,426,853.00/13,003.50
  6. Step 6: Final answer
    x = 8,953.50

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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.