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Finding the Fourth Proportional to 12,187.50, 18,281.35 and 2,953.50

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Solution

The fourth proportional to 12,187.50, 18,281.35 and 2,953.50 is: 4,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.50 : 18,281.35 = 2,953.50 : x
  2. Step 2: Convert to fraction form
    12,187.50/18,281.35 = 2,953.50/x
  3. Step 3: Cross multiply
    12,187.50x = 18,281.35 × 2,953.50
  4. Step 4: Simplify right side
    12,187.50x = 53,993,967.23
  5. Step 5: Solve for x
    x = 53,993,967.23/12,187.50
  6. Step 6: Final answer
    x = 4,430.27

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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.