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Finding the Fourth Proportional to 19,715.80, 29,573.70 and 9,347.80

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Solution

The fourth proportional to 19,715.80, 29,573.70 and 9,347.80 is: 14,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.80 : 29,573.70 = 9,347.80 : x
  2. Step 2: Convert to fraction form
    19,715.80/29,573.70 = 9,347.80/x
  3. Step 3: Cross multiply
    19,715.80x = 29,573.70 × 9,347.80
  4. Step 4: Simplify right side
    19,715.80x = 276,449,032.86
  5. Step 5: Solve for x
    x = 276,449,032.86/19,715.80
  6. Step 6: Final answer
    x = 14,021.70

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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.