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Finding the Fourth Proportional to 23,047.40, 31,808.44 and 12,977.80

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Solution

The fourth proportional to 23,047.40, 31,808.44 and 12,977.80 is: 17,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.40 : 31,808.44 = 12,977.80 : x
  2. Step 2: Convert to fraction form
    23,047.40/31,808.44 = 12,977.80/x
  3. Step 3: Cross multiply
    23,047.40x = 31,808.44 × 12,977.80
  4. Step 4: Simplify right side
    23,047.40x = 412,803,572.63
  5. Step 5: Solve for x
    x = 412,803,572.63/23,047.40
  6. Step 6: Final answer
    x = 17,911.07

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