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Finding the Fourth Proportional to 14,349.08, 19,747.80 and 12,140

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Solution

The fourth proportional to 14,349.08, 19,747.80 and 12,140 is: 16,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.08 : 19,747.80 = 12,140 : x
  2. Step 2: Convert to fraction form
    14,349.08/19,747.80 = 12,140/x
  3. Step 3: Cross multiply
    14,349.08x = 19,747.80 × 12,140
  4. Step 4: Simplify right side
    14,349.08x = 239,738,292
  5. Step 5: Solve for x
    x = 239,738,292/14,349.08
  6. Step 6: Final answer
    x = 16,707.57

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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.