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Finding the Fourth Proportional to 14,033.94, 19,373.14 and 9,256.70

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Solution

The fourth proportional to 14,033.94, 19,373.14 and 9,256.70 is: 12,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.94 : 19,373.14 = 9,256.70 : x
  2. Step 2: Convert to fraction form
    14,033.94/19,373.14 = 9,256.70/x
  3. Step 3: Cross multiply
    14,033.94x = 19,373.14 × 9,256.70
  4. Step 4: Simplify right side
    14,033.94x = 179,331,345.04
  5. Step 5: Solve for x
    x = 179,331,345.04/14,033.94
  6. Step 6: Final answer
    x = 12,778.40

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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.