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Finding the Fourth Proportional to 15,572.50, 23,369.28 and 6,802.36

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Solution

The fourth proportional to 15,572.50, 23,369.28 and 6,802.36 is: 10,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,572.50 : 23,369.28 = 6,802.36 : x
  2. Step 2: Convert to fraction form
    15,572.50/23,369.28 = 6,802.36/x
  3. Step 3: Cross multiply
    15,572.50x = 23,369.28 × 6,802.36
  4. Step 4: Simplify right side
    15,572.50x = 158,966,255.50
  5. Step 5: Solve for x
    x = 158,966,255.50/15,572.50
  6. Step 6: Final answer
    x = 10,208.14

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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.