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Finding the Fourth Proportional to 13,733.66, 18,952.34 and 7,446

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Solution

The fourth proportional to 13,733.66, 18,952.34 and 7,446 is: 10,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.66 : 18,952.34 = 7,446 : x
  2. Step 2: Convert to fraction form
    13,733.66/18,952.34 = 7,446/x
  3. Step 3: Cross multiply
    13,733.66x = 18,952.34 × 7,446
  4. Step 4: Simplify right side
    13,733.66x = 141,119,123.64
  5. Step 5: Solve for x
    x = 141,119,123.64/13,733.66
  6. Step 6: Final answer
    x = 10,275.42

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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.