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Finding the Fourth Proportional to 14,117.82, 19,478.16 and 8,148.72

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Solution

The fourth proportional to 14,117.82, 19,478.16 and 8,148.72 is: 11,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.82 : 19,478.16 = 8,148.72 : x
  2. Step 2: Convert to fraction form
    14,117.82/19,478.16 = 8,148.72/x
  3. Step 3: Cross multiply
    14,117.82x = 19,478.16 × 8,148.72
  4. Step 4: Simplify right side
    14,117.82x = 158,722,071.96
  5. Step 5: Solve for x
    x = 158,722,071.96/14,117.82
  6. Step 6: Final answer
    x = 11,242.68

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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.