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Finding the Fourth Proportional to 19,509.84, 29,267.79 and 6,359.16

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Solution

The fourth proportional to 19,509.84, 29,267.79 and 6,359.16 is: 9,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.84 : 29,267.79 = 6,359.16 : x
  2. Step 2: Convert to fraction form
    19,509.84/29,267.79 = 6,359.16/x
  3. Step 3: Cross multiply
    19,509.84x = 29,267.79 × 6,359.16
  4. Step 4: Simplify right side
    19,509.84x = 186,118,559.46
  5. Step 5: Solve for x
    x = 186,118,559.46/19,509.84
  6. Step 6: Final answer
    x = 9,539.73

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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.