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Finding the Fourth Proportional to 15,510.50, 23,254.41 and 4,974.53

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Solution

The fourth proportional to 15,510.50, 23,254.41 and 4,974.53 is: 7,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,510.50 : 23,254.41 = 4,974.53 : x
  2. Step 2: Convert to fraction form
    15,510.50/23,254.41 = 4,974.53/x
  3. Step 3: Cross multiply
    15,510.50x = 23,254.41 × 4,974.53
  4. Step 4: Simplify right side
    15,510.50x = 115,679,643.91
  5. Step 5: Solve for x
    x = 115,679,643.91/15,510.50
  6. Step 6: Final answer
    x = 7,458.15

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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.