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Finding the Fourth Proportional to 14,105.79, 19,472.19 and 9,873.47

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Solution

The fourth proportional to 14,105.79, 19,472.19 and 9,873.47 is: 13,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.79 : 19,472.19 = 9,873.47 : x
  2. Step 2: Convert to fraction form
    14,105.79/19,472.19 = 9,873.47/x
  3. Step 3: Cross multiply
    14,105.79x = 19,472.19 × 9,873.47
  4. Step 4: Simplify right side
    14,105.79x = 192,258,068.46
  5. Step 5: Solve for x
    x = 192,258,068.46/14,105.79
  6. Step 6: Final answer
    x = 13,629.73

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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.