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Finding the Fourth Proportional to 19,672.40, 29,508 and 4,881.44

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Solution

The fourth proportional to 19,672.40, 29,508 and 4,881.44 is: 7,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.40 : 29,508 = 4,881.44 : x
  2. Step 2: Convert to fraction form
    19,672.40/29,508 = 4,881.44/x
  3. Step 3: Cross multiply
    19,672.40x = 29,508 × 4,881.44
  4. Step 4: Simplify right side
    19,672.40x = 144,041,531.52
  5. Step 5: Solve for x
    x = 144,041,531.52/19,672.40
  6. Step 6: Final answer
    x = 7,322.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.