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Finding the Fourth Proportional to 23,047.78, 34,570.04 and 13,156.06

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Solution

The fourth proportional to 23,047.78, 34,570.04 and 13,156.06 is: 19,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.78 : 34,570.04 = 13,156.06 : x
  2. Step 2: Convert to fraction form
    23,047.78/34,570.04 = 13,156.06/x
  3. Step 3: Cross multiply
    23,047.78x = 34,570.04 × 13,156.06
  4. Step 4: Simplify right side
    23,047.78x = 454,805,520.44
  5. Step 5: Solve for x
    x = 454,805,520.44/23,047.78
  6. Step 6: Final answer
    x = 19,733.16

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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.