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Finding the Fourth Proportional to 21,312.77, 31,969.17 and 6,521.69

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Solution

The fourth proportional to 21,312.77, 31,969.17 and 6,521.69 is: 9,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.77 : 31,969.17 = 6,521.69 : x
  2. Step 2: Convert to fraction form
    21,312.77/31,969.17 = 6,521.69/x
  3. Step 3: Cross multiply
    21,312.77x = 31,969.17 × 6,521.69
  4. Step 4: Simplify right side
    21,312.77x = 208,492,856.45
  5. Step 5: Solve for x
    x = 208,492,856.45/21,312.77
  6. Step 6: Final answer
    x = 9,782.53

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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.