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Finding the Fourth Proportional to 19,875.48, 27,415.58 and 14,834.31

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Solution

The fourth proportional to 19,875.48, 27,415.58 and 14,834.31 is: 20,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.48 : 27,415.58 = 14,834.31 : x
  2. Step 2: Convert to fraction form
    19,875.48/27,415.58 = 14,834.31/x
  3. Step 3: Cross multiply
    19,875.48x = 27,415.58 × 14,834.31
  4. Step 4: Simplify right side
    19,875.48x = 406,691,138.38
  5. Step 5: Solve for x
    x = 406,691,138.38/19,875.48
  6. Step 6: Final answer
    x = 20,461.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.