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Finding the Fourth Proportional to 13,281.90, 18,328.34 and 7,312.43

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Solution

The fourth proportional to 13,281.90, 18,328.34 and 7,312.43 is: 10,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.90 : 18,328.34 = 7,312.43 : x
  2. Step 2: Convert to fraction form
    13,281.90/18,328.34 = 7,312.43/x
  3. Step 3: Cross multiply
    13,281.90x = 18,328.34 × 7,312.43
  4. Step 4: Simplify right side
    13,281.90x = 134,024,703.27
  5. Step 5: Solve for x
    x = 134,024,703.27/13,281.90
  6. Step 6: Final answer
    x = 10,090.78

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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.