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Finding the Fourth Proportional to 13,776.42, 19,012.05 and 8,472.99

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Solution

The fourth proportional to 13,776.42, 19,012.05 and 8,472.99 is: 11,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.42 : 19,012.05 = 8,472.99 : x
  2. Step 2: Convert to fraction form
    13,776.42/19,012.05 = 8,472.99/x
  3. Step 3: Cross multiply
    13,776.42x = 19,012.05 × 8,472.99
  4. Step 4: Simplify right side
    13,776.42x = 161,088,909.53
  5. Step 5: Solve for x
    x = 161,088,909.53/13,776.42
  6. Step 6: Final answer
    x = 11,693.09

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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.