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Finding the Fourth Proportional to 14,090.85, 19,442.19 and 8,424.66

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Solution

The fourth proportional to 14,090.85, 19,442.19 and 8,424.66 is: 11,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.85 : 19,442.19 = 8,424.66 : x
  2. Step 2: Convert to fraction form
    14,090.85/19,442.19 = 8,424.66/x
  3. Step 3: Cross multiply
    14,090.85x = 19,442.19 × 8,424.66
  4. Step 4: Simplify right side
    14,090.85x = 163,793,840.41
  5. Step 5: Solve for x
    x = 163,793,840.41/14,090.85
  6. Step 6: Final answer
    x = 11,624.13

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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.