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Finding the Fourth Proportional to 19,653.50, 29,485.11 and 6,507.20

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Solution

The fourth proportional to 19,653.50, 29,485.11 and 6,507.20 is: 9,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.50 : 29,485.11 = 6,507.20 : x
  2. Step 2: Convert to fraction form
    19,653.50/29,485.11 = 6,507.20/x
  3. Step 3: Cross multiply
    19,653.50x = 29,485.11 × 6,507.20
  4. Step 4: Simplify right side
    19,653.50x = 191,865,360.37
  5. Step 5: Solve for x
    x = 191,865,360.37/19,653.50
  6. Step 6: Final answer
    x = 9,762.40

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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.