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Finding the Fourth Proportional to 14,177.52, 19,566.86 and 8,211.06

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Solution

The fourth proportional to 14,177.52, 19,566.86 and 8,211.06 is: 11,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.52 : 19,566.86 = 8,211.06 : x
  2. Step 2: Convert to fraction form
    14,177.52/19,566.86 = 8,211.06/x
  3. Step 3: Cross multiply
    14,177.52x = 19,566.86 × 8,211.06
  4. Step 4: Simplify right side
    14,177.52x = 160,664,620.42
  5. Step 5: Solve for x
    x = 160,664,620.42/14,177.52
  6. Step 6: Final answer
    x = 11,332.35

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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.