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Finding the Fourth Proportional to 14,311.11, 19,746.80 and 8,642.07

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Solution

The fourth proportional to 14,311.11, 19,746.80 and 8,642.07 is: 11,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.11 : 19,746.80 = 8,642.07 : x
  2. Step 2: Convert to fraction form
    14,311.11/19,746.80 = 8,642.07/x
  3. Step 3: Cross multiply
    14,311.11x = 19,746.80 × 8,642.07
  4. Step 4: Simplify right side
    14,311.11x = 170,653,184.67
  5. Step 5: Solve for x
    x = 170,653,184.67/14,311.11
  6. Step 6: Final answer
    x = 11,924.52

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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.