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Finding the Fourth Proportional to 12,032.34, 18,054.99 and 5,017.20

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Solution

The fourth proportional to 12,032.34, 18,054.99 and 5,017.20 is: 7,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.34 : 18,054.99 = 5,017.20 : x
  2. Step 2: Convert to fraction form
    12,032.34/18,054.99 = 5,017.20/x
  3. Step 3: Cross multiply
    12,032.34x = 18,054.99 × 5,017.20
  4. Step 4: Simplify right side
    12,032.34x = 90,585,495.83
  5. Step 5: Solve for x
    x = 90,585,495.83/12,032.34
  6. Step 6: Final answer
    x = 7,528.50

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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.