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Finding the Fourth Proportional to 19,502.52, 29,256.08 and 6,848.40

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Solution

The fourth proportional to 19,502.52, 29,256.08 and 6,848.40 is: 10,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.52 : 29,256.08 = 6,848.40 : x
  2. Step 2: Convert to fraction form
    19,502.52/29,256.08 = 6,848.40/x
  3. Step 3: Cross multiply
    19,502.52x = 29,256.08 × 6,848.40
  4. Step 4: Simplify right side
    19,502.52x = 200,357,338.27
  5. Step 5: Solve for x
    x = 200,357,338.27/19,502.52
  6. Step 6: Final answer
    x = 10,273.41

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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.