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Finding the Fourth Proportional to 13,172.78, 19,762.47 and 9,284.78

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Solution

The fourth proportional to 13,172.78, 19,762.47 and 9,284.78 is: 13,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.78 : 19,762.47 = 9,284.78 : x
  2. Step 2: Convert to fraction form
    13,172.78/19,762.47 = 9,284.78/x
  3. Step 3: Cross multiply
    13,172.78x = 19,762.47 × 9,284.78
  4. Step 4: Simplify right side
    13,172.78x = 183,490,186.21
  5. Step 5: Solve for x
    x = 183,490,186.21/13,172.78
  6. Step 6: Final answer
    x = 13,929.50

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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.