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Finding the Fourth Proportional to 19,424.64, 29,119.68 and 7,109.76

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Solution

The fourth proportional to 19,424.64, 29,119.68 and 7,109.76 is: 10,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424.64 : 29,119.68 = 7,109.76 : x
  2. Step 2: Convert to fraction form
    19,424.64/29,119.68 = 7,109.76/x
  3. Step 3: Cross multiply
    19,424.64x = 29,119.68 × 7,109.76
  4. Step 4: Simplify right side
    19,424.64x = 207,033,936.08
  5. Step 5: Solve for x
    x = 207,033,936.08/19,424.64
  6. Step 6: Final answer
    x = 10,658.32

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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.