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Finding the Fourth Proportional to 13,733.90, 20,602.91 and 4,970.87

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Solution

The fourth proportional to 13,733.90, 20,602.91 and 4,970.87 is: 7,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.90 : 20,602.91 = 4,970.87 : x
  2. Step 2: Convert to fraction form
    13,733.90/20,602.91 = 4,970.87/x
  3. Step 3: Cross multiply
    13,733.90x = 20,602.91 × 4,970.87
  4. Step 4: Simplify right side
    13,733.90x = 102,414,278.00
  5. Step 5: Solve for x
    x = 102,414,278.00/13,733.90
  6. Step 6: Final answer
    x = 7,457.04

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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.