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Finding the Fourth Proportional to 13,266.70, 18,307.38 and 7,298.21

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Solution

The fourth proportional to 13,266.70, 18,307.38 and 7,298.21 is: 10,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.70 : 18,307.38 = 7,298.21 : x
  2. Step 2: Convert to fraction form
    13,266.70/18,307.38 = 7,298.21/x
  3. Step 3: Cross multiply
    13,266.70x = 18,307.38 × 7,298.21
  4. Step 4: Simplify right side
    13,266.70x = 133,611,180.41
  5. Step 5: Solve for x
    x = 133,611,180.41/13,266.70
  6. Step 6: Final answer
    x = 10,071.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.