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Finding the Fourth Proportional to 19,657.48, 29,462.98 and 19,438.24

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Solution

The fourth proportional to 19,657.48, 29,462.98 and 19,438.24 is: 29,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.48 : 29,462.98 = 19,438.24 : x
  2. Step 2: Convert to fraction form
    19,657.48/29,462.98 = 19,438.24/x
  3. Step 3: Cross multiply
    19,657.48x = 29,462.98 × 19,438.24
  4. Step 4: Simplify right side
    19,657.48x = 572,708,476.36
  5. Step 5: Solve for x
    x = 572,708,476.36/19,657.48
  6. Step 6: Final answer
    x = 29,134.38

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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.