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Finding the Fourth Proportional to 13,430.62, 18,534.83 and 7,462.31

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Solution

The fourth proportional to 13,430.62, 18,534.83 and 7,462.31 is: 10,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.62 : 18,534.83 = 7,462.31 : x
  2. Step 2: Convert to fraction form
    13,430.62/18,534.83 = 7,462.31/x
  3. Step 3: Cross multiply
    13,430.62x = 18,534.83 × 7,462.31
  4. Step 4: Simplify right side
    13,430.62x = 138,312,621.53
  5. Step 5: Solve for x
    x = 138,312,621.53/13,430.62
  6. Step 6: Final answer
    x = 10,298.31

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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.