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Finding the Fourth Proportional to 21,307.57, 31,962.62 and 6,517.51

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Solution

The fourth proportional to 21,307.57, 31,962.62 and 6,517.51 is: 9,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.57 : 31,962.62 = 6,517.51 : x
  2. Step 2: Convert to fraction form
    21,307.57/31,962.62 = 6,517.51/x
  3. Step 3: Cross multiply
    21,307.57x = 31,962.62 × 6,517.51
  4. Step 4: Simplify right side
    21,307.57x = 208,316,662.89
  5. Step 5: Solve for x
    x = 208,316,662.89/21,307.57
  6. Step 6: Final answer
    x = 9,776.65

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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.