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Finding the Fourth Proportional to 21,312.66, 31,967.37 and 6,521.66

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Solution

The fourth proportional to 21,312.66, 31,967.37 and 6,521.66 is: 9,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.66 : 31,967.37 = 6,521.66 : x
  2. Step 2: Convert to fraction form
    21,312.66/31,967.37 = 6,521.66/x
  3. Step 3: Cross multiply
    21,312.66x = 31,967.37 × 6,521.66
  4. Step 4: Simplify right side
    21,312.66x = 208,480,158.40
  5. Step 5: Solve for x
    x = 208,480,158.40/21,312.66
  6. Step 6: Final answer
    x = 9,781.99

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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.