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Finding the Fourth Proportional to 14,148.72, 19,525.68 and 7,861.56

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Solution

The fourth proportional to 14,148.72, 19,525.68 and 7,861.56 is: 10,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.72 : 19,525.68 = 7,861.56 : x
  2. Step 2: Convert to fraction form
    14,148.72/19,525.68 = 7,861.56/x
  3. Step 3: Cross multiply
    14,148.72x = 19,525.68 × 7,861.56
  4. Step 4: Simplify right side
    14,148.72x = 153,502,304.86
  5. Step 5: Solve for x
    x = 153,502,304.86/14,148.72
  6. Step 6: Final answer
    x = 10,849.20

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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.