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Finding the Fourth Proportional to 21,295.40, 31,949.90 and 6,507.16

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Solution

The fourth proportional to 21,295.40, 31,949.90 and 6,507.16 is: 9,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,295.40 : 31,949.90 = 6,507.16 : x
  2. Step 2: Convert to fraction form
    21,295.40/31,949.90 = 6,507.16/x
  3. Step 3: Cross multiply
    21,295.40x = 31,949.90 × 6,507.16
  4. Step 4: Simplify right side
    21,295.40x = 207,903,111.28
  5. Step 5: Solve for x
    x = 207,903,111.28/21,295.40
  6. Step 6: Final answer
    x = 9,762.82

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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.