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Finding the Fourth Proportional to 12,095.70, 18,150.16 and 4,700.46

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Solution

The fourth proportional to 12,095.70, 18,150.16 and 4,700.46 is: 7,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.70 : 18,150.16 = 4,700.46 : x
  2. Step 2: Convert to fraction form
    12,095.70/18,150.16 = 4,700.46/x
  3. Step 3: Cross multiply
    12,095.70x = 18,150.16 × 4,700.46
  4. Step 4: Simplify right side
    12,095.70x = 85,314,101.07
  5. Step 5: Solve for x
    x = 85,314,101.07/12,095.70
  6. Step 6: Final answer
    x = 7,053.26

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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.