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Finding the Fourth Proportional to 12,854.64, 19,289.22 and 5,929.14

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Solution

The fourth proportional to 12,854.64, 19,289.22 and 5,929.14 is: 8,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.64 : 19,289.22 = 5,929.14 : x
  2. Step 2: Convert to fraction form
    12,854.64/19,289.22 = 5,929.14/x
  3. Step 3: Cross multiply
    12,854.64x = 19,289.22 × 5,929.14
  4. Step 4: Simplify right side
    12,854.64x = 114,368,485.87
  5. Step 5: Solve for x
    x = 114,368,485.87/12,854.64
  6. Step 6: Final answer
    x = 8,897.06

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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.