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Finding the Fourth Proportional to 19,710.12, 29,491.04 and 11,783.46

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Solution

The fourth proportional to 19,710.12, 29,491.04 and 11,783.46 is: 17,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.12 : 29,491.04 = 11,783.46 : x
  2. Step 2: Convert to fraction form
    19,710.12/29,491.04 = 11,783.46/x
  3. Step 3: Cross multiply
    19,710.12x = 29,491.04 × 11,783.46
  4. Step 4: Simplify right side
    19,710.12x = 347,506,490.20
  5. Step 5: Solve for x
    x = 347,506,490.20/19,710.12
  6. Step 6: Final answer
    x = 17,630.87

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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.