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Finding the Fourth Proportional to 19,733.40, 29,574.18 and 9,348.12

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Solution

The fourth proportional to 19,733.40, 29,574.18 and 9,348.12 is: 14,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.40 : 29,574.18 = 9,348.12 : x
  2. Step 2: Convert to fraction form
    19,733.40/29,574.18 = 9,348.12/x
  3. Step 3: Cross multiply
    19,733.40x = 29,574.18 × 9,348.12
  4. Step 4: Simplify right side
    19,733.40x = 276,462,983.54
  5. Step 5: Solve for x
    x = 276,462,983.54/19,733.40
  6. Step 6: Final answer
    x = 14,009.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.