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Finding the Fourth Proportional to 13,509.76, 20,235.84 and 7,663.36

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Solution

The fourth proportional to 13,509.76, 20,235.84 and 7,663.36 is: 11,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.76 : 20,235.84 = 7,663.36 : x
  2. Step 2: Convert to fraction form
    13,509.76/20,235.84 = 7,663.36/x
  3. Step 3: Cross multiply
    13,509.76x = 20,235.84 × 7,663.36
  4. Step 4: Simplify right side
    13,509.76x = 155,074,526.82
  5. Step 5: Solve for x
    x = 155,074,526.82/13,509.76
  6. Step 6: Final answer
    x = 11,478.70

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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.