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Finding the Fourth Proportional to 25,516.47, 38,275.43 and 7,048.47

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Solution

The fourth proportional to 25,516.47, 38,275.43 and 7,048.47 is: 10,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.47 : 38,275.43 = 7,048.47 : x
  2. Step 2: Convert to fraction form
    25,516.47/38,275.43 = 7,048.47/x
  3. Step 3: Cross multiply
    25,516.47x = 38,275.43 × 7,048.47
  4. Step 4: Simplify right side
    25,516.47x = 269,783,184.85
  5. Step 5: Solve for x
    x = 269,783,184.85/25,516.47
  6. Step 6: Final answer
    x = 10,572.90

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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.