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Finding the Fourth Proportional to 19,534.48, 29,303.01 and 7,687.32

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Solution

The fourth proportional to 19,534.48, 29,303.01 and 7,687.32 is: 11,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.48 : 29,303.01 = 7,687.32 : x
  2. Step 2: Convert to fraction form
    19,534.48/29,303.01 = 7,687.32/x
  3. Step 3: Cross multiply
    19,534.48x = 29,303.01 × 7,687.32
  4. Step 4: Simplify right side
    19,534.48x = 225,261,614.83
  5. Step 5: Solve for x
    x = 225,261,614.83/19,534.48
  6. Step 6: Final answer
    x = 11,531.49

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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.