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Finding the Fourth Proportional to 14,177.54, 19,567.40 and 8,212.84

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Solution

The fourth proportional to 14,177.54, 19,567.40 and 8,212.84 is: 11,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.54 : 19,567.40 = 8,212.84 : x
  2. Step 2: Convert to fraction form
    14,177.54/19,567.40 = 8,212.84/x
  3. Step 3: Cross multiply
    14,177.54x = 19,567.40 × 8,212.84
  4. Step 4: Simplify right side
    14,177.54x = 160,703,925.42
  5. Step 5: Solve for x
    x = 160,703,925.42/14,177.54
  6. Step 6: Final answer
    x = 11,335.11

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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.