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Finding the Fourth Proportional to 15,970.21, 23,964.52 and 7,205.11

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Solution

The fourth proportional to 15,970.21, 23,964.52 and 7,205.11 is: 10,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.21 : 23,964.52 = 7,205.11 : x
  2. Step 2: Convert to fraction form
    15,970.21/23,964.52 = 7,205.11/x
  3. Step 3: Cross multiply
    15,970.21x = 23,964.52 × 7,205.11
  4. Step 4: Simplify right side
    15,970.21x = 172,666,924.77
  5. Step 5: Solve for x
    x = 172,666,924.77/15,970.21
  6. Step 6: Final answer
    x = 10,811.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.