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Finding the Fourth Proportional to 13,509.01, 20,263.50 and 7,508.90

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Solution

The fourth proportional to 13,509.01, 20,263.50 and 7,508.90 is: 11,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.01 : 20,263.50 = 7,508.90 : x
  2. Step 2: Convert to fraction form
    13,509.01/20,263.50 = 7,508.90/x
  3. Step 3: Cross multiply
    13,509.01x = 20,263.50 × 7,508.90
  4. Step 4: Simplify right side
    13,509.01x = 152,156,645.81
  5. Step 5: Solve for x
    x = 152,156,645.81/13,509.01
  6. Step 6: Final answer
    x = 11,263.34

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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.