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Finding the Fourth Proportional to 14,097.33, 19,443.47 and 9,846.99

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Solution

The fourth proportional to 14,097.33, 19,443.47 and 9,846.99 is: 13,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.33 : 19,443.47 = 9,846.99 : x
  2. Step 2: Convert to fraction form
    14,097.33/19,443.47 = 9,846.99/x
  3. Step 3: Cross multiply
    14,097.33x = 19,443.47 × 9,846.99
  4. Step 4: Simplify right side
    14,097.33x = 191,459,605.42
  5. Step 5: Solve for x
    x = 191,459,605.42/14,097.33
  6. Step 6: Final answer
    x = 13,581.27

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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.