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Finding the Fourth Proportional to 12,875.28, 19,197.60 and 12,642

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Solution

The fourth proportional to 12,875.28, 19,197.60 and 12,642 is: 18,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.28 : 19,197.60 = 12,642 : x
  2. Step 2: Convert to fraction form
    12,875.28/19,197.60 = 12,642/x
  3. Step 3: Cross multiply
    12,875.28x = 19,197.60 × 12,642
  4. Step 4: Simplify right side
    12,875.28x = 242,696,059.20
  5. Step 5: Solve for x
    x = 242,696,059.20/12,875.28
  6. Step 6: Final answer
    x = 18,849.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.