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Finding the Fourth Proportional to 14,200.65, 19,598.36 and 8,537.24

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Solution

The fourth proportional to 14,200.65, 19,598.36 and 8,537.24 is: 11,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.65 : 19,598.36 = 8,537.24 : x
  2. Step 2: Convert to fraction form
    14,200.65/19,598.36 = 8,537.24/x
  3. Step 3: Cross multiply
    14,200.65x = 19,598.36 × 8,537.24
  4. Step 4: Simplify right side
    14,200.65x = 167,315,909.24
  5. Step 5: Solve for x
    x = 167,315,909.24/14,200.65
  6. Step 6: Final answer
    x = 11,782.27

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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.