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Finding the Fourth Proportional to 13,057.60, 19,589.64 and 6,124

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Solution

The fourth proportional to 13,057.60, 19,589.64 and 6,124 is: 9,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.60 : 19,589.64 = 6,124 : x
  2. Step 2: Convert to fraction form
    13,057.60/19,589.64 = 6,124/x
  3. Step 3: Cross multiply
    13,057.60x = 19,589.64 × 6,124
  4. Step 4: Simplify right side
    13,057.60x = 119,966,955.36
  5. Step 5: Solve for x
    x = 119,966,955.36/13,057.60
  6. Step 6: Final answer
    x = 9,187.52

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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.