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Finding the Fourth Proportional to 13,730.60, 20,607.74 and 9,037.26

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Solution

The fourth proportional to 13,730.60, 20,607.74 and 9,037.26 is: 13,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.60 : 20,607.74 = 9,037.26 : x
  2. Step 2: Convert to fraction form
    13,730.60/20,607.74 = 9,037.26/x
  3. Step 3: Cross multiply
    13,730.60x = 20,607.74 × 9,037.26
  4. Step 4: Simplify right side
    13,730.60x = 186,237,459.21
  5. Step 5: Solve for x
    x = 186,237,459.21/13,730.60
  6. Step 6: Final answer
    x = 13,563.68

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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.