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Finding the Fourth Proportional to 14,698.29, 20,283.63 and 7,983.93

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Solution

The fourth proportional to 14,698.29, 20,283.63 and 7,983.93 is: 11,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.29 : 20,283.63 = 7,983.93 : x
  2. Step 2: Convert to fraction form
    14,698.29/20,283.63 = 7,983.93/x
  3. Step 3: Cross multiply
    14,698.29x = 20,283.63 × 7,983.93
  4. Step 4: Simplify right side
    14,698.29x = 161,943,082.07
  5. Step 5: Solve for x
    x = 161,943,082.07/14,698.29
  6. Step 6: Final answer
    x = 11,017.82

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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.