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Finding the Fourth Proportional to 21,312.61, 31,969.52 and 6,521.20

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Solution

The fourth proportional to 21,312.61, 31,969.52 and 6,521.20 is: 9,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.61 : 31,969.52 = 6,521.20 : x
  2. Step 2: Convert to fraction form
    21,312.61/31,969.52 = 6,521.20/x
  3. Step 3: Cross multiply
    21,312.61x = 31,969.52 × 6,521.20
  4. Step 4: Simplify right side
    21,312.61x = 208,479,521.29
  5. Step 5: Solve for x
    x = 208,479,521.29/21,312.61
  6. Step 6: Final answer
    x = 9,781.98

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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.