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Finding the Fourth Proportional to 14,090.34, 19,433.78 and 9,840

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Solution

The fourth proportional to 14,090.34, 19,433.78 and 9,840 is: 13,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.34 : 19,433.78 = 9,840 : x
  2. Step 2: Convert to fraction form
    14,090.34/19,433.78 = 9,840/x
  3. Step 3: Cross multiply
    14,090.34x = 19,433.78 × 9,840
  4. Step 4: Simplify right side
    14,090.34x = 191,228,395.20
  5. Step 5: Solve for x
    x = 191,228,395.20/14,090.34
  6. Step 6: Final answer
    x = 13,571.60

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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.