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Finding the Fourth Proportional to 23,041.53, 31,797.38 and 12,970.13

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Solution

The fourth proportional to 23,041.53, 31,797.38 and 12,970.13 is: 17,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.53 : 31,797.38 = 12,970.13 : x
  2. Step 2: Convert to fraction form
    23,041.53/31,797.38 = 12,970.13/x
  3. Step 3: Cross multiply
    23,041.53x = 31,797.38 × 12,970.13
  4. Step 4: Simplify right side
    23,041.53x = 412,415,928.42
  5. Step 5: Solve for x
    x = 412,415,928.42/23,041.53
  6. Step 6: Final answer
    x = 17,898.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.