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Finding the Fourth Proportional to 21,007.70, 31,525.95 and 9,329.30

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Solution

The fourth proportional to 21,007.70, 31,525.95 and 9,329.30 is: 14,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.70 : 31,525.95 = 9,329.30 : x
  2. Step 2: Convert to fraction form
    21,007.70/31,525.95 = 9,329.30/x
  3. Step 3: Cross multiply
    21,007.70x = 31,525.95 × 9,329.30
  4. Step 4: Simplify right side
    21,007.70x = 294,115,045.34
  5. Step 5: Solve for x
    x = 294,115,045.34/21,007.70
  6. Step 6: Final answer
    x = 14,000.34

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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.