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Finding the Fourth Proportional to 14,434.73, 19,925.22 and 8,471.40

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Solution

The fourth proportional to 14,434.73, 19,925.22 and 8,471.40 is: 11,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.73 : 19,925.22 = 8,471.40 : x
  2. Step 2: Convert to fraction form
    14,434.73/19,925.22 = 8,471.40/x
  3. Step 3: Cross multiply
    14,434.73x = 19,925.22 × 8,471.40
  4. Step 4: Simplify right side
    14,434.73x = 168,794,508.71
  5. Step 5: Solve for x
    x = 168,794,508.71/14,434.73
  6. Step 6: Final answer
    x = 11,693.64

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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.