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Finding the Fourth Proportional to 14,114.20, 19,468.65 and 9,069.74

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Solution

The fourth proportional to 14,114.20, 19,468.65 and 9,069.74 is: 12,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.20 : 19,468.65 = 9,069.74 : x
  2. Step 2: Convert to fraction form
    14,114.20/19,468.65 = 9,069.74/x
  3. Step 3: Cross multiply
    14,114.20x = 19,468.65 × 9,069.74
  4. Step 4: Simplify right side
    14,114.20x = 176,575,593.65
  5. Step 5: Solve for x
    x = 176,575,593.65/14,114.20
  6. Step 6: Final answer
    x = 12,510.49

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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.