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Finding the Fourth Proportional to 13,466.58, 18,583.59 and 7,416.99

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Solution

The fourth proportional to 13,466.58, 18,583.59 and 7,416.99 is: 10,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.58 : 18,583.59 = 7,416.99 : x
  2. Step 2: Convert to fraction form
    13,466.58/18,583.59 = 7,416.99/x
  3. Step 3: Cross multiply
    13,466.58x = 18,583.59 × 7,416.99
  4. Step 4: Simplify right side
    13,466.58x = 137,834,301.19
  5. Step 5: Solve for x
    x = 137,834,301.19/13,466.58
  6. Step 6: Final answer
    x = 10,235.29

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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.