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Finding the Fourth Proportional to 14,214.74, 19,605.76 and 10,436.72

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Solution

The fourth proportional to 14,214.74, 19,605.76 and 10,436.72 is: 14,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.74 : 19,605.76 = 10,436.72 : x
  2. Step 2: Convert to fraction form
    14,214.74/19,605.76 = 10,436.72/x
  3. Step 3: Cross multiply
    14,214.74x = 19,605.76 × 10,436.72
  4. Step 4: Simplify right side
    14,214.74x = 204,619,703.39
  5. Step 5: Solve for x
    x = 204,619,703.39/14,214.74
  6. Step 6: Final answer
    x = 14,394.90

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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.