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Finding the Fourth Proportional to 13,281.69, 18,328.32 and 7,312.80

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Solution

The fourth proportional to 13,281.69, 18,328.32 and 7,312.80 is: 10,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.69 : 18,328.32 = 7,312.80 : x
  2. Step 2: Convert to fraction form
    13,281.69/18,328.32 = 7,312.80/x
  3. Step 3: Cross multiply
    13,281.69x = 18,328.32 × 7,312.80
  4. Step 4: Simplify right side
    13,281.69x = 134,031,338.50
  5. Step 5: Solve for x
    x = 134,031,338.50/13,281.69
  6. Step 6: Final answer
    x = 10,091.44

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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.