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Finding the Fourth Proportional to 13,412.61, 18,509.44 and 7,444.29

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Solution

The fourth proportional to 13,412.61, 18,509.44 and 7,444.29 is: 10,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.61 : 18,509.44 = 7,444.29 : x
  2. Step 2: Convert to fraction form
    13,412.61/18,509.44 = 7,444.29/x
  3. Step 3: Cross multiply
    13,412.61x = 18,509.44 × 7,444.29
  4. Step 4: Simplify right side
    13,412.61x = 137,789,639.10
  5. Step 5: Solve for x
    x = 137,789,639.10/13,412.61
  6. Step 6: Final answer
    x = 10,273.14

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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.