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Finding the Fourth Proportional to 21,312.69, 31,967.88 and 6,521.61

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Solution

The fourth proportional to 21,312.69, 31,967.88 and 6,521.61 is: 9,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.69 : 31,967.88 = 6,521.61 : x
  2. Step 2: Convert to fraction form
    21,312.69/31,967.88 = 6,521.61/x
  3. Step 3: Cross multiply
    21,312.69x = 31,967.88 × 6,521.61
  4. Step 4: Simplify right side
    21,312.69x = 208,482,045.89
  5. Step 5: Solve for x
    x = 208,482,045.89/21,312.69
  6. Step 6: Final answer
    x = 9,782.06

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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.