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Finding the Fourth Proportional to 13,434.79, 18,539.67 and 7,466.98

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Solution

The fourth proportional to 13,434.79, 18,539.67 and 7,466.98 is: 10,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.79 : 18,539.67 = 7,466.98 : x
  2. Step 2: Convert to fraction form
    13,434.79/18,539.67 = 7,466.98/x
  3. Step 3: Cross multiply
    13,434.79x = 18,539.67 × 7,466.98
  4. Step 4: Simplify right side
    13,434.79x = 138,435,345.10
  5. Step 5: Solve for x
    x = 138,435,345.10/13,434.79
  6. Step 6: Final answer
    x = 10,304.24

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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.