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Finding the Fourth Proportional to 13,298.40, 19,937.66 and 5,800.50

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Solution

The fourth proportional to 13,298.40, 19,937.66 and 5,800.50 is: 8,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.40 : 19,937.66 = 5,800.50 : x
  2. Step 2: Convert to fraction form
    13,298.40/19,937.66 = 5,800.50/x
  3. Step 3: Cross multiply
    13,298.40x = 19,937.66 × 5,800.50
  4. Step 4: Simplify right side
    13,298.40x = 115,648,367.83
  5. Step 5: Solve for x
    x = 115,648,367.83/13,298.40
  6. Step 6: Final answer
    x = 8,696.41

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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.