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Finding the Fourth Proportional to 23,047.32, 31,807.70 and 14,100.78

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Solution

The fourth proportional to 23,047.32, 31,807.70 and 14,100.78 is: 19,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.32 : 31,807.70 = 14,100.78 : x
  2. Step 2: Convert to fraction form
    23,047.32/31,807.70 = 14,100.78/x
  3. Step 3: Cross multiply
    23,047.32x = 31,807.70 × 14,100.78
  4. Step 4: Simplify right side
    23,047.32x = 448,513,309.50
  5. Step 5: Solve for x
    x = 448,513,309.50/23,047.32
  6. Step 6: Final answer
    x = 19,460.54

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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.