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Finding the Fourth Proportional to 13,266.42, 18,307.99 and 7,298.25

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Solution

The fourth proportional to 13,266.42, 18,307.99 and 7,298.25 is: 10,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.42 : 18,307.99 = 7,298.25 : x
  2. Step 2: Convert to fraction form
    13,266.42/18,307.99 = 7,298.25/x
  3. Step 3: Cross multiply
    13,266.42x = 18,307.99 × 7,298.25
  4. Step 4: Simplify right side
    13,266.42x = 133,616,288.02
  5. Step 5: Solve for x
    x = 133,616,288.02/13,266.42
  6. Step 6: Final answer
    x = 10,071.77

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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.