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Finding the Fourth Proportional to 21,870.61, 32,797.71 and 10,175.63

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Solution

The fourth proportional to 21,870.61, 32,797.71 and 10,175.63 is: 15,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.61 : 32,797.71 = 10,175.63 : x
  2. Step 2: Convert to fraction form
    21,870.61/32,797.71 = 10,175.63/x
  3. Step 3: Cross multiply
    21,870.61x = 32,797.71 × 10,175.63
  4. Step 4: Simplify right side
    21,870.61x = 333,737,197.82
  5. Step 5: Solve for x
    x = 333,737,197.82/21,870.61
  6. Step 6: Final answer
    x = 15,259.62

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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.