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Finding the Fourth Proportional to 14,278.91, 19,705.93 and 8,230.12

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Solution

The fourth proportional to 14,278.91, 19,705.93 and 8,230.12 is: 11,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.91 : 19,705.93 = 8,230.12 : x
  2. Step 2: Convert to fraction form
    14,278.91/19,705.93 = 8,230.12/x
  3. Step 3: Cross multiply
    14,278.91x = 19,705.93 × 8,230.12
  4. Step 4: Simplify right side
    14,278.91x = 162,182,098.77
  5. Step 5: Solve for x
    x = 162,182,098.77/14,278.91
  6. Step 6: Final answer
    x = 11,358.16

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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.