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Finding the Fourth Proportional to 14,121.95, 19,488.84 and 7,748.75

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Solution

The fourth proportional to 14,121.95, 19,488.84 and 7,748.75 is: 10,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.95 : 19,488.84 = 7,748.75 : x
  2. Step 2: Convert to fraction form
    14,121.95/19,488.84 = 7,748.75/x
  3. Step 3: Cross multiply
    14,121.95x = 19,488.84 × 7,748.75
  4. Step 4: Simplify right side
    14,121.95x = 151,014,148.95
  5. Step 5: Solve for x
    x = 151,014,148.95/14,121.95
  6. Step 6: Final answer
    x = 10,693.58

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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.