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Finding the Fourth Proportional to 14,346.39, 19,798.02 and 7,972.98

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Solution

The fourth proportional to 14,346.39, 19,798.02 and 7,972.98 is: 11,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346.39 : 19,798.02 = 7,972.98 : x
  2. Step 2: Convert to fraction form
    14,346.39/19,798.02 = 7,972.98/x
  3. Step 3: Cross multiply
    14,346.39x = 19,798.02 × 7,972.98
  4. Step 4: Simplify right side
    14,346.39x = 157,849,217.50
  5. Step 5: Solve for x
    x = 157,849,217.50/14,346.39
  6. Step 6: Final answer
    x = 11,002.71

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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.