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Finding the Fourth Proportional to 19,358.66, 29,038.14 and 7,671.87

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Solution

The fourth proportional to 19,358.66, 29,038.14 and 7,671.87 is: 11,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,358.66 : 29,038.14 = 7,671.87 : x
  2. Step 2: Convert to fraction form
    19,358.66/29,038.14 = 7,671.87/x
  3. Step 3: Cross multiply
    19,358.66x = 29,038.14 × 7,671.87
  4. Step 4: Simplify right side
    19,358.66x = 222,776,835.12
  5. Step 5: Solve for x
    x = 222,776,835.12/19,358.66
  6. Step 6: Final answer
    x = 11,507.86

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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.