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Finding the Fourth Proportional to 21,175.55, 31,758.86 and 13,656.59

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Solution

The fourth proportional to 21,175.55, 31,758.86 and 13,656.59 is: 20,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.55 : 31,758.86 = 13,656.59 : x
  2. Step 2: Convert to fraction form
    21,175.55/31,758.86 = 13,656.59/x
  3. Step 3: Cross multiply
    21,175.55x = 31,758.86 × 13,656.59
  4. Step 4: Simplify right side
    21,175.55x = 433,717,605.23
  5. Step 5: Solve for x
    x = 433,717,605.23/21,175.55
  6. Step 6: Final answer
    x = 20,482.00

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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.