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Finding the Fourth Proportional to 25,510.47, 38,266.43 and 7,042.47

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Solution

The fourth proportional to 25,510.47, 38,266.43 and 7,042.47 is: 10,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,510.47 : 38,266.43 = 7,042.47 : x
  2. Step 2: Convert to fraction form
    25,510.47/38,266.43 = 7,042.47/x
  3. Step 3: Cross multiply
    25,510.47x = 38,266.43 × 7,042.47
  4. Step 4: Simplify right side
    25,510.47x = 269,490,150.07
  5. Step 5: Solve for x
    x = 269,490,150.07/25,510.47
  6. Step 6: Final answer
    x = 10,563.90

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