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Finding the Fourth Proportional to 14,113.70, 19,467.96 and 9,069.24

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Solution

The fourth proportional to 14,113.70, 19,467.96 and 9,069.24 is: 12,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.70 : 19,467.96 = 9,069.24 : x
  2. Step 2: Convert to fraction form
    14,113.70/19,467.96 = 9,069.24/x
  3. Step 3: Cross multiply
    14,113.70x = 19,467.96 × 9,069.24
  4. Step 4: Simplify right side
    14,113.70x = 176,559,601.55
  5. Step 5: Solve for x
    x = 176,559,601.55/14,113.70
  6. Step 6: Final answer
    x = 12,509.80

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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.