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Finding the Fourth Proportional to 14,023.61, 19,352.58 and 7,735.98

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Solution

The fourth proportional to 14,023.61, 19,352.58 and 7,735.98 is: 10,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.61 : 19,352.58 = 7,735.98 : x
  2. Step 2: Convert to fraction form
    14,023.61/19,352.58 = 7,735.98/x
  3. Step 3: Cross multiply
    14,023.61x = 19,352.58 × 7,735.98
  4. Step 4: Simplify right side
    14,023.61x = 149,711,171.83
  5. Step 5: Solve for x
    x = 149,711,171.83/14,023.61
  6. Step 6: Final answer
    x = 10,675.65

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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.