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Finding the Fourth Proportional to 14,179.16, 19,567.34 and 7,805.58

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Solution

The fourth proportional to 14,179.16, 19,567.34 and 7,805.58 is: 10,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179.16 : 19,567.34 = 7,805.58 : x
  2. Step 2: Convert to fraction form
    14,179.16/19,567.34 = 7,805.58/x
  3. Step 3: Cross multiply
    14,179.16x = 19,567.34 × 7,805.58
  4. Step 4: Simplify right side
    14,179.16x = 152,734,437.76
  5. Step 5: Solve for x
    x = 152,734,437.76/14,179.16
  6. Step 6: Final answer
    x = 10,771.76

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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.