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Finding the Fourth Proportional to 13,798.85, 19,037.46 and 9,262.64

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Solution

The fourth proportional to 13,798.85, 19,037.46 and 9,262.64 is: 12,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.85 : 19,037.46 = 9,262.64 : x
  2. Step 2: Convert to fraction form
    13,798.85/19,037.46 = 9,262.64/x
  3. Step 3: Cross multiply
    13,798.85x = 19,037.46 × 9,262.64
  4. Step 4: Simplify right side
    13,798.85x = 176,337,043.31
  5. Step 5: Solve for x
    x = 176,337,043.31/13,798.85
  6. Step 6: Final answer
    x = 12,779.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.