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Finding the Fourth Proportional to 21,312.62, 31,963.80 and 6,521.68

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Solution

The fourth proportional to 21,312.62, 31,963.80 and 6,521.68 is: 9,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.62 : 31,963.80 = 6,521.68 : x
  2. Step 2: Convert to fraction form
    21,312.62/31,963.80 = 6,521.68/x
  3. Step 3: Cross multiply
    21,312.62x = 31,963.80 × 6,521.68
  4. Step 4: Simplify right side
    21,312.62x = 208,457,675.18
  5. Step 5: Solve for x
    x = 208,457,675.18/21,312.62
  6. Step 6: Final answer
    x = 9,780.95

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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.