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Finding the Fourth Proportional to 17,312.50, 25,973.07 and 5,000.50

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Solution

The fourth proportional to 17,312.50, 25,973.07 and 5,000.50 is: 7,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.50 : 25,973.07 = 5,000.50 : x
  2. Step 2: Convert to fraction form
    17,312.50/25,973.07 = 5,000.50/x
  3. Step 3: Cross multiply
    17,312.50x = 25,973.07 × 5,000.50
  4. Step 4: Simplify right side
    17,312.50x = 129,878,336.54
  5. Step 5: Solve for x
    x = 129,878,336.54/17,312.50
  6. Step 6: Final answer
    x = 7,502.00

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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.