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Finding the Fourth Proportional to 21,455.51, 32,175.37 and 7,411.93

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Solution

The fourth proportional to 21,455.51, 32,175.37 and 7,411.93 is: 11,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,455.51 : 32,175.37 = 7,411.93 : x
  2. Step 2: Convert to fraction form
    21,455.51/32,175.37 = 7,411.93/x
  3. Step 3: Cross multiply
    21,455.51x = 32,175.37 × 7,411.93
  4. Step 4: Simplify right side
    21,455.51x = 238,481,658.28
  5. Step 5: Solve for x
    x = 238,481,658.28/21,455.51
  6. Step 6: Final answer
    x = 11,115.17

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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.