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Finding the Fourth Proportional to 15,017.50, 22,526.25 and 6,809.50

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Solution

The fourth proportional to 15,017.50, 22,526.25 and 6,809.50 is: 10,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,017.50 : 22,526.25 = 6,809.50 : x
  2. Step 2: Convert to fraction form
    15,017.50/22,526.25 = 6,809.50/x
  3. Step 3: Cross multiply
    15,017.50x = 22,526.25 × 6,809.50
  4. Step 4: Simplify right side
    15,017.50x = 153,392,499.38
  5. Step 5: Solve for x
    x = 153,392,499.38/15,017.50
  6. Step 6: Final answer
    x = 10,214.25

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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.