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Finding the Fourth Proportional to 14,180.85, 19,565.94 and 9,466.02

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Solution

The fourth proportional to 14,180.85, 19,565.94 and 9,466.02 is: 13,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.85 : 19,565.94 = 9,466.02 : x
  2. Step 2: Convert to fraction form
    14,180.85/19,565.94 = 9,466.02/x
  3. Step 3: Cross multiply
    14,180.85x = 19,565.94 × 9,466.02
  4. Step 4: Simplify right side
    14,180.85x = 185,211,579.36
  5. Step 5: Solve for x
    x = 185,211,579.36/14,180.85
  6. Step 6: Final answer
    x = 13,060.68

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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.